10005116463164 has 12 divisors (see below), whose sum is σ = 17755558794288. Its totient is φ = 4932099664800.

The previous prime is 10005116463157. The next prime is 10005116463239. The reversal of 10005116463164 is 46136461150001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17614641377 + ... + 17614641944.

It is an arithmetic number, because the mean of its divisors is an integer number (1479629899524).

Almost surely, 2^{10005116463164} is an apocalyptic number.

It is an amenable number.

10005116463164 is a deficient number, since it is larger than the sum of its proper divisors (7750442331124).

10005116463164 is a wasteful number, since it uses less digits than its factorization.

10005116463164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35229283396 (or 35229283394 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 10005116463164 in words is "ten trillion, five billion, one hundred sixteen million, four hundred sixty-three thousand, one hundred sixty-four".