956991017472 has 480 divisors, whose sum is σ = 3130115820480. Its totient is φ = 258347335680.

The previous prime is 956991017459. The next prime is 956991017501. The reversal of 956991017472 is 274710199659.

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, 773638038 + ... + 773639274.

It is an arithmetic number, because the mean of its divisors is an integer number (6521074626).

Almost surely, 2^956991017472 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 956991017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565057910240).

956991017472 is an abundant number, since it is smaller than the sum of its proper divisors (2173124803008).

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

956991017472 is a wasteful number, since it uses less digits than its factorization.

956991017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 60.

The spelling of 956991017472 in words is "nine hundred fifty-six billion, nine hundred ninety-one million, seventeen thousand, four hundred seventy-two".