123564116235015 has 64 divisors (see below), whose sum is σ = 231264072000000. Its totient is φ = 62423491705344.

The previous prime is 123564116234981. The next prime is 123564116235103. The reversal of 123564116235015 is 510532611465321.

It is a happy number.

123564116235015 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 6 + 4 + 1 + 1 + 623 + 5 + 0 + 15 = 666.

It is not a de Polignac number, because 123564116235015 - 2⁸ = 123564116234759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14572111 + ... + 21435359.

It is an arithmetic number, because the mean of its divisors is an integer number (3613501125000).

Almost surely, 2^{123564116235015} is an apocalyptic number.

123564116235015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123564116235015 is a deficient number, since it is larger than the sum of its proper divisors (107699955764985).

123564116235015 is a wasteful number, since it uses less digits than its factorization.

123564116235015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870301 (or 6870295 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 123564116235015 in words is "one hundred twenty-three trillion, five hundred sixty-four billion, one hundred sixteen million, two hundred thirty-five thousand, fifteen".