956191053312 has 640 divisors, whose sum is σ = 3170719918080. Its totient is φ = 282036142080.

The previous prime is 956191053269. The next prime is 956191053329. The reversal of 956191053312 is 213350191659.

956191053312 is a `hidden beast` number, since 9 + 5 + 619 + 10 + 5 + 3 + 3 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2408541498 + ... + 2408541894.

It is an arithmetic number, because the mean of its divisors is an integer number (4954249872).

Almost surely, 2^956191053312 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 956191053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585359959040).

956191053312 is an abundant number, since it is smaller than the sum of its proper divisors (2214528864768).

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

956191053312 is a wasteful number, since it uses less digits than its factorization.

956191053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 956191053312 in words is "nine hundred fifty-six billion, one hundred ninety-one million, fifty-three thousand, three hundred twelve".