123314507350704 has 160 divisors (see below), whose sum is σ = 363867423583680. Its totient is φ = 39956194252800.

The previous prime is 123314507350669. The next prime is 123314507350717. The reversal of 123314507350704 is 407053705413321.

123314507350704 is a `hidden beast` number, since 1 + 2 + 3 + 31 + 45 + 0 + 73 + 507 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123314507350704.

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, 13323364 + ... + 20594684.

It is an arithmetic number, because the mean of its divisors is an integer number (2274171397398).

Almost surely, 2^{123314507350704} 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 123314507350704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181933711791840).

123314507350704 is an abundant number, since it is smaller than the sum of its proper divisors (240552916232976).

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

123314507350704 is a wasteful number, since it uses less digits than its factorization.

123314507350704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272436 (or 7272424 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 123314507350704 in words is "one hundred twenty-three trillion, three hundred fourteen billion, five hundred seven million, three hundred fifty thousand, seven hundred four".