96456831504 has 320 divisors, whose sum is σ = 287605401600. Its totient is φ = 27590492160.

The previous prime is 96456831487. The next prime is 96456831551. The reversal of 96456831504 is 40513865469.

It is a super-4 number, since 4×96456831504⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167169264 + ... + 167169840.

It is an arithmetic number, because the mean of its divisors is an integer number (898766880).

Almost surely, 2^96456831504 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 96456831504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143802700800).

96456831504 is an abundant number, since it is smaller than the sum of its proper divisors (191148570096).

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

96456831504 is a wasteful number, since it uses less digits than its factorization.

96456831504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 96456831504 in words is "ninety-six billion, four hundred fifty-six million, eight hundred thirty-one thousand, five hundred four".