123593117042304 has 768 divisors, whose sum is σ = 461192634040320. Its totient is φ = 30876001542144.

The previous prime is 123593117042257. The next prime is 123593117042377. The reversal of 123593117042304 is 403240711395321.

123593117042304 is a `hidden beast` number, since 1 + 2 + 3 + 59 + 3 + 1 + 170 + 423 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123593117042304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248098177 + ... + 248595839.

It is an arithmetic number, because the mean of its divisors is an integer number (600511242240).

Almost surely, 2^{123593117042304} is an apocalyptic number.

123593117042304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123593117042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230596317020160).

123593117042304 is an abundant number, since it is smaller than the sum of its proper divisors (337599516998016).

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

123593117042304 is a wasteful number, since it uses less digits than its factorization.

123593117042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497829 (or 497814 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 123593117042304 in words is "one hundred twenty-three trillion, five hundred ninety-three billion, one hundred seventeen million, forty-two thousand, three hundred four".