123314785154400 has 576 divisors, whose sum is σ = 472097705812992. Its totient is φ = 27368066211840.

The previous prime is 123314785154399. The next prime is 123314785154411. The reversal of 123314785154400 is 4451587413321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 123314785154400.

It is a congruent number.

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, 302515522 + ... + 302922878.

It is an arithmetic number, because the mean of its divisors is an integer number (819614072592).

Almost surely, 2^{123314785154400} is an apocalyptic number.

123314785154400 is a gapful number since it is divisible by the number (10) 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 123314785154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236048852906496).

123314785154400 is an abundant number, since it is smaller than the sum of its proper divisors (348782920658592).

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

123314785154400 is a wasteful number, since it uses less digits than its factorization.

123314785154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407911 (or 407898 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 123314785154400 in words is "one hundred twenty-three trillion, three hundred fourteen billion, seven hundred eighty-five million, one hundred fifty-four thousand, four hundred".