13354964500164 has 96 divisors (see below), whose sum is σ = 35781110615040. Its totient is φ = 3797728198272.

The previous prime is 13354964500133. The next prime is 13354964500181. The reversal of 13354964500164 is 46100546945331.

13354964500164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62951982 + ... + 63163770.

It is an arithmetic number, because the mean of its divisors is an integer number (372719902240).

Almost surely, 2^{13354964500164} is an apocalyptic number.

13354964500164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13354964500164 is an abundant number, since it is smaller than the sum of its proper divisors (22426146114876).

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

13354964500164 is a wasteful number, since it uses less digits than its factorization.

13354964500164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215337 (or 215335 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 13354964500164 in words is "thirteen trillion, three hundred fifty-four billion, nine hundred sixty-four million, five hundred thousand, one hundred sixty-four".