13831459488 has 576 divisors, whose sum is σ = 54684564480. Its totient is φ = 3201638400.

The previous prime is 13831459451. The next prime is 13831459493. The reversal of 13831459488 is 88495413831.

13831459488 is a `hidden beast` number, since 1 + 38 + 3 + 14 + 594 + 8 + 8 = 666.

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, 7161883 + ... + 7163813.

It is an arithmetic number, because the mean of its divisors is an integer number (94938480).

Almost surely, 2^13831459488 is an apocalyptic number.

13831459488 is a gapful number since it is divisible by the number (18) 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 13831459488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342282240).

13831459488 is an abundant number, since it is smaller than the sum of its proper divisors (40853104992).

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

13831459488 is a wasteful number, since it uses less digits than its factorization.

13831459488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1990 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 13831459488 in words is "thirteen billion, eight hundred thirty-one million, four hundred fifty-nine thousand, four hundred eighty-eight".