956131912512 has 224 divisors, whose sum is σ = 3215505888000. Its totient is φ = 272916504576.

The previous prime is 956131912493. The next prime is 956131912573. The reversal of 956131912512 is 215219131659.

956131912512 is a `hidden beast` number, since 9 + 5 + 613 + 1 + 9 + 1 + 25 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12651028 + ... + 12726380.

It is an arithmetic number, because the mean of its divisors is an integer number (14354937000).

Almost surely, 2^956131912512 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 956131912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607752944000).

956131912512 is an abundant number, since it is smaller than the sum of its proper divisors (2259373975488).

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

956131912512 is a wasteful number, since it uses less digits than its factorization.

956131912512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76430 (or 76414 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The spelling of 956131912512 in words is "nine hundred fifty-six billion, one hundred thirty-one million, nine hundred twelve thousand, five hundred twelve".