956417000448 has 528 divisors, whose sum is σ = 3191240903040. Its totient is φ = 249323323392.

The previous prime is 956417000437. The next prime is 956417000467. The reversal of 956417000448 is 844000714659.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 956417000397 and 956417000406.

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, 323440186 + ... + 323443142.

Almost surely, 2^956417000448 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 956417000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595620451520).

956417000448 is an abundant number, since it is smaller than the sum of its proper divisors (2234823902592).

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

956417000448 is a wasteful number, since it uses less digits than its factorization.

956417000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 956417000448 in words is "nine hundred fifty-six billion, four hundred seventeen million, four hundred forty-eight", and thus it is an aban number.