96104574001968 has 640 divisors, whose sum is σ = 306869319106560. Its totient is φ = 25322816471040.

The previous prime is 96104574001901. The next prime is 96104574001979. The reversal of 96104574001968 is 86910047540169.

96104574001968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×96104574001968³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25786038921 + ... + 25786042647.

It is an arithmetic number, because the mean of its divisors is an integer number (479483311104).

Almost surely, 2^{96104574001968} 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 96104574001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153434659553280).

96104574001968 is an abundant number, since it is smaller than the sum of its proper divisors (210764745104592).

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

96104574001968 is a wasteful number, since it uses less digits than its factorization.

96104574001968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 96104574001968 in words is "ninety-six trillion, one hundred four billion, five hundred seventy-four million, one thousand, nine hundred sixty-eight".