49031934142464 has 384 divisors, whose sum is σ = 178762278240000. Its totient is φ = 12931497787392.

The previous prime is 49031934142423. The next prime is 49031934142469. The reversal of 49031934142464 is 46424143913094.

It is a happy number.

49031934142464 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 1 + 9 + 34 + 142 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49031934142464² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49031934142464.

It is not an unprimeable number, because it can be changed into a prime (49031934142469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159862 + ... + 9904010.

It is an arithmetic number, because the mean of its divisors is an integer number (465526766250).

Almost surely, 2^{49031934142464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49031934142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89381139120000).

49031934142464 is an abundant number, since it is smaller than the sum of its proper divisors (129730344097536).

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

49031934142464 is a wasteful number, since it uses less digits than its factorization.

49031934142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744200 (or 9744174 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 49031934142464 in words is "forty-nine trillion, thirty-one billion, nine hundred thirty-four million, one hundred forty-two thousand, four hundred sixty-four".