13107005362464 has 96 divisors (see below), whose sum is σ = 38663474097024. Its totient is φ = 3857580165120.

The previous prime is 13107005362457. The next prime is 13107005362523. The reversal of 13107005362464 is 46426350070131.

It is a tau number, because it is divible by the number of its divisors (96).

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, 228284517 + ... + 228341924.

It is an arithmetic number, because the mean of its divisors is an integer number (402744521844).

Almost surely, 2^{13107005362464} is an apocalyptic number.

It is an amenable number.

13107005362464 is an abundant number, since it is smaller than the sum of its proper divisors (25556468734560).

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

13107005362464 is a wasteful number, since it uses less digits than its factorization.

13107005362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456626490 (or 456626482 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13107005362464 in words is "thirteen trillion, one hundred seven billion, five million, three hundred sixty-two thousand, four hundred sixty-four".