956855636352 has 288 divisors, whose sum is σ = 3494178534600. Its totient is φ = 248533770240.

The previous prime is 956855636351. The next prime is 956855636389. The reversal of 956855636352 is 253636558659.

956855636352 is a `hidden beast` number, since 9 + 5 + 6 + 8 + 5 + 563 + 63 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 956855636352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956855636351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149577 + ... + 1391432.

Almost surely, 2^956855636352 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 956855636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747089267300).

956855636352 is an abundant number, since it is smaller than the sum of its proper divisors (2537322898248).

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

956855636352 is a wasteful number, since it uses less digits than its factorization.

956855636352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541054 (or 1541032 counting only the distinct ones).

The product of its digits is 174960000, while the sum is 63.

The spelling of 956855636352 in words is "nine hundred fifty-six billion, eight hundred fifty-five million, six hundred thirty-six thousand, three hundred fifty-two".