49367994622128 has 1280 divisors, whose sum is σ = 183859565568000. Its totient is φ = 12492311961600.

The previous prime is 49367994622097. The next prime is 49367994622139. The reversal of 49367994622128 is 82122649976394.

49367994622128 is a `hidden beast` number, since 4 + 9 + 3 + 67 + 99 + 462 + 2 + 12 + 8 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7963861173 + ... + 7963867371.

It is an arithmetic number, because the mean of its divisors is an integer number (143640285600).

Almost surely, 2^{49367994622128} is an apocalyptic number.

49367994622128 is a gapful number since it is divisible by the number (48) 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 49367994622128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929782784000).

49367994622128 is an abundant number, since it is smaller than the sum of its proper divisors (134491570945872).

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

49367994622128 is a wasteful number, since it uses less digits than its factorization.

49367994622128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6326 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 49367994622128 in words is "forty-nine trillion, three hundred sixty-seven billion, nine hundred ninety-four million, six hundred twenty-two thousand, one hundred twenty-eight".