49957256134656 has 896 divisors, whose sum is σ = 170831808332640. Its totient is φ = 14465730871296.

The previous prime is 49957256134649. The next prime is 49957256134679. The reversal of 49957256134656 is 65643165275994.

It is a happy number.

49957256134656 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 7 + 2 + 561 + 3 + 4 + 6 + 56 = 666.

49957256134656 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5279214981 + ... + 5279224443.

Almost surely, 2^{49957256134656} 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 49957256134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85415904166320).

49957256134656 is an abundant number, since it is smaller than the sum of its proper divisors (120874552197984).

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

49957256134656 is an frugal number, since it uses more digits than its factorization.

49957256134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9498 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 72.

The spelling of 49957256134656 in words is "forty-nine trillion, nine hundred fifty-seven billion, two hundred fifty-six million, one hundred thirty-four thousand, six hundred fifty-six".