956040164352 has 528 divisors, whose sum is σ = 3523514397312. Its totient is φ = 252136488960.

The previous prime is 956040164327. The next prime is 956040164381. The reversal of 956040164352 is 253461040659.

956040164352 is a `hidden beast` number, since 9 + 5 + 604 + 0 + 1 + 6 + 4 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 956040164298 and 956040164307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22622602 + ... + 22664822.

Almost surely, 2^956040164352 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 956040164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761757198656).

956040164352 is an abundant number, since it is smaller than the sum of its proper divisors (2567474232960).

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

956040164352 is a wasteful number, since it uses less digits than its factorization.

956040164352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42276 (or 42246 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 956040164352 in words is "nine hundred fifty-six billion, forty million, one hundred sixty-four thousand, three hundred fifty-two".