13831325424 has 400 divisors, whose sum is σ = 49837286400. Its totient is φ = 3613413888.

The previous prime is 13831325377. The next prime is 13831325437. The reversal of 13831325424 is 42452313831.

13831325424 is a `hidden beast` number, since 1 + 3 + 83 + 1 + 32 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4997289 + ... + 5000055.

It is an arithmetic number, because the mean of its divisors is an integer number (124593216).

Almost surely, 2^13831325424 is an apocalyptic number.

13831325424 is a gapful number since it is divisible by the number (14) 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 13831325424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918643200).

13831325424 is an abundant number, since it is smaller than the sum of its proper divisors (36005960976).

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

13831325424 is a wasteful number, since it uses less digits than its factorization.

13831325424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2827 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 13831325424 in words is "thirteen billion, eight hundred thirty-one million, three hundred twenty-five thousand, four hundred twenty-four".