15213312304164 has 144 divisors (see below), whose sum is σ = 42001624514304. Its totient is φ = 4614615532800.

The previous prime is 15213312304159. The next prime is 15213312304171. The reversal of 15213312304164 is 46140321331251.

15213312304164 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 3 + 3 + 1 + 230 + 416 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457898457 + ... + 457931679.

It is an arithmetic number, because the mean of its divisors is an integer number (291677948016).

Almost surely, 2^{15213312304164} 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 15213312304164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000812257152).

15213312304164 is an abundant number, since it is smaller than the sum of its proper divisors (26788312210140).

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

15213312304164 is a wasteful number, since it uses less digits than its factorization.

15213312304164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47098 (or 47093 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 15213312304164 in words is "fifteen trillion, two hundred thirteen billion, three hundred twelve million, three hundred four thousand, one hundred sixty-four".