123413505314424 has 288 divisors, whose sum is σ = 369794334253680. Its totient is φ = 34185749385216.

The previous prime is 123413505314399. The next prime is 123413505314443. The reversal of 123413505314424 is 424413505314321.

It is a super-2 number, since 2×123413505314424² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34783882 + ... + 38167334.

Almost surely, 2^{123413505314424} 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 123413505314424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184897167126840).

123413505314424 is an abundant number, since it is smaller than the sum of its proper divisors (246380828939256).

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

123413505314424 is a wasteful number, since it uses less digits than its factorization.

123413505314424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383551 (or 3383511 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 123413505314424 in words is "one hundred twenty-three trillion, four hundred thirteen billion, five hundred five million, three hundred fourteen thousand, four hundred twenty-four".