8147968464004 has 48 divisors (see below), whose sum is σ = 14866022183040. Its totient is φ = 3903892312320.

The previous prime is 8147968463993. The next prime is 8147968464017. The reversal of 8147968464004 is 4004648697418.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48395289 + ... + 48563359.

It is an arithmetic number, because the mean of its divisors is an integer number (309708795480).

Almost surely, 2^{8147968464004} is an apocalyptic number.

It is an amenable number.

8147968464004 is a deficient number, since it is larger than the sum of its proper divisors (6718053719036).

8147968464004 is a wasteful number, since it uses less digits than its factorization.

8147968464004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173068 (or 173066 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 61.

The spelling of 8147968464004 in words is "eight trillion, one hundred forty-seven billion, nine hundred sixty-eight million, four hundred sixty-four thousand, four".