13831972224 has 256 divisors, whose sum is σ = 43358976000. Its totient is φ = 3825229824.

The previous prime is 13831972177. The next prime is 13831972247. The reversal of 13831972224 is 42227913831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11254042 + ... + 11255270.

It is an arithmetic number, because the mean of its divisors is an integer number (169371000).

Almost surely, 2^13831972224 is an apocalyptic number.

13831972224 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 13831972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679488000).

13831972224 is an abundant number, since it is smaller than the sum of its proper divisors (29527003776).

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

13831972224 is a wasteful number, since it uses less digits than its factorization.

13831972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1373 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 13831972224 in words is "thirteen billion, eight hundred thirty-one million, nine hundred seventy-two thousand, two hundred twenty-four".