13831500816 has 160 divisors (see below), whose sum is σ = 46938067200. Its totient is φ = 3815562240.

The previous prime is 13831500743. The next prime is 13831500817. The reversal of 13831500816 is 61800513831.

13831500816 is a `hidden beast` number, since 138 + 3 + 1 + 500 + 8 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13831500817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8836 + ... + 166556.

It is an arithmetic number, because the mean of its divisors is an integer number (293362920).

Almost surely, 2^13831500816 is an apocalyptic number.

13831500816 is a gapful number since it is divisible by the number (16) 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 13831500816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469033600).

13831500816 is an abundant number, since it is smaller than the sum of its proper divisors (33106566384).

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

13831500816 is a wasteful number, since it uses less digits than its factorization.

13831500816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157774 (or 157762 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13831500816 in words is "thirteen billion, eight hundred thirty-one million, five hundred thousand, eight hundred sixteen".