956445069888 has 672 divisors, whose sum is σ = 3642618470400. Its totient is φ = 232558571520.

The previous prime is 956445069869. The next prime is 956445069893. The reversal of 956445069888 is 888960544659.

956445069888 is a `hidden beast` number, since 9 + 5 + 6 + 4 + 450 + 6 + 98 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×956445069888² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 47934538 + ... + 47954486.

It is an arithmetic number, because the mean of its divisors is an integer number (5420563200).

Almost surely, 2^956445069888 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 956445069888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821309235200).

956445069888 is an abundant number, since it is smaller than the sum of its proper divisors (2686173400512).

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

956445069888 is a wasteful number, since it uses less digits than its factorization.

956445069888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20055 (or 20042 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 956445069888 in words is "nine hundred fifty-six billion, four hundred forty-five million, sixty-nine thousand, eight hundred eighty-eight".