123314331230496 has 288 divisors, whose sum is σ = 409031099568000. Its totient is φ = 35225729763840.

The previous prime is 123314331230477. The next prime is 123314331230543. The reversal of 123314331230496 is 694032133413321.

123314331230496 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 4 + 33 + 123 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×123314331230496² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512469891 + ... + 512710461.

It is an arithmetic number, because the mean of its divisors is an integer number (1420246873500).

Almost surely, 2^{123314331230496} is an apocalyptic number.

123314331230496 is a gapful number since it is divisible by the number (16) 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 123314331230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204515549784000).

123314331230496 is an abundant number, since it is smaller than the sum of its proper divisors (285716768337504).

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

123314331230496 is a wasteful number, since it uses less digits than its factorization.

123314331230496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245797 (or 245772 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 123314331230496 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-one million, two hundred thirty thousand, four hundred ninety-six".