957113892147456 has 1152 divisors, whose sum is σ = 3071624564736000. Its totient is φ = 293412694671360.

The previous prime is 957113892147437. The next prime is 957113892147473. The reversal of 957113892147456 is 654741298311759.

957113892147456 is a `hidden beast` number, since 9 + 5 + 7 + 1 + 1 + 3 + 89 + 21 + 474 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×957113892147456² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 847753668300 + ... + 847753669428.

It is an arithmetic number, because the mean of its divisors is an integer number (2666340768000).

Almost surely, 2^{957113892147456} is an apocalyptic number.

957113892147456 is a gapful number since it is divisible by the number (96) 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 957113892147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535812282368000).

957113892147456 is an abundant number, since it is smaller than the sum of its proper divisors (2114510672588544).

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

957113892147456 is a wasteful number, since it uses less digits than its factorization.

957113892147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1367 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 957113892147456 in words is "nine hundred fifty-seven trillion, one hundred thirteen billion, eight hundred ninety-two million, one hundred forty-seven thousand, four hundred fifty-six".