49936494166272 has 576 divisors, whose sum is σ = 169692980728320. Its totient is φ = 14189484441600.

The previous prime is 49936494166267. The next prime is 49936494166277. The reversal of 49936494166272 is 27266149463994.

49936494166272 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 6 + 494 + 1 + 6 + 62 + 72 = 666.

49936494166272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49936494166267) and next prime (49936494166277).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49936494166272.

It is not an unprimeable number, because it can be changed into a prime (49936494166277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7385959372 + ... + 7385966132.

It is an arithmetic number, because the mean of its divisors is an integer number (294605869320).

Almost surely, 2^{49936494166272} is an apocalyptic number.

49936494166272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49936494166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84846490364160).

49936494166272 is an abundant number, since it is smaller than the sum of its proper divisors (119756486562048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49936494166272 is a wasteful number, since it uses less digits than its factorization.

49936494166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7587 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 49936494166272 in words is "forty-nine trillion, nine hundred thirty-six billion, four hundred ninety-four million, one hundred sixty-six thousand, two hundred seventy-two".