956481668928 has 126 divisors (see below), whose sum is σ = 2912338485446. Its totient is φ = 300072628224.

The previous prime is 956481668921. The next prime is 956481668941. The reversal of 956481668928 is 829866184659.

956481668928 is a `hidden beast` number, since 9 + 5 + 6 + 481 + 66 + 89 + 2 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 703263377664 + 253218291264 = 838608^2 + 503208^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956481668921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2706475 + ... + 3039402.

Almost surely, 2^956481668928 is an apocalyptic number.

It is an amenable number.

956481668928 is an abundant number, since it is smaller than the sum of its proper divisors (1955856816518).

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

956481668928 is a wasteful number, since it uses less digits than its factorization.

956481668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745929 (or 5745899 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 956481668928 in words is "nine hundred fifty-six billion, four hundred eighty-one million, six hundred sixty-eight thousand, nine hundred twenty-eight".