23531392131408 has 880 divisors, whose sum is σ = 79713761314176. Its totient is φ = 6591115514880.

The previous prime is 23531392131389. The next prime is 23531392131421. The reversal of 23531392131408 is 80413129313532.

23531392131408 is a `hidden beast` number, since 2 + 3 + 531 + 3 + 92 + 13 + 14 + 0 + 8 = 666.

It is a congruent number.

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 175 ways as a sum of consecutive naturals, for example, 136019607610 + ... + 136019607782.

Almost surely, 2^{23531392131408} is an apocalyptic number.

23531392131408 is a gapful number since it is divisible by the number (28) 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 23531392131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39856880657088).

23531392131408 is an abundant number, since it is smaller than the sum of its proper divisors (56182369182768).

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

23531392131408 is a wasteful number, since it uses less digits than its factorization.

23531392131408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 23531392131408 in words is "twenty-three trillion, five hundred thirty-one billion, three hundred ninety-two million, one hundred thirty-one thousand, four hundred eight".