15945293664 has 48 divisors (see below), whose sum is σ = 46507109040. Its totient is φ = 5315097600.

The previous prime is 15945293603. The next prime is 15945293681. The reversal of 15945293664 is 46639254951.

15945293664 is a `hidden beast` number, since 1 + 59 + 4 + 529 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 15945293664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9226737 + ... + 9228464.

It is an arithmetic number, because the mean of its divisors is an integer number (968898105).

Almost surely, 2^15945293664 is an apocalyptic number.

It is an amenable number.

15945293664 is an abundant number, since it is smaller than the sum of its proper divisors (30561815376).

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

15945293664 is a wasteful number, since it uses less digits than its factorization.

15945293664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455220 (or 18455206 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

It can be divided in two parts, 159452 and 93664, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 15945293664 in words is "fifteen billion, nine hundred forty-five million, two hundred ninety-three thousand, six hundred sixty-four".