16131898656 has 192 divisors, whose sum is σ = 47773877760. Its totient is φ = 5295386880.

The previous prime is 16131898639. The next prime is 16131898667. The reversal of 16131898656 is 65689813161.

16131898656 is a `hidden beast` number, since 1 + 613 + 18 + 9 + 8 + 6 + 5 + 6 = 666.

It is a super-3 number, since 3×16131898656³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19506115 + ... + 19506941.

It is an arithmetic number, because the mean of its divisors is an integer number (248822280).

Almost surely, 2^16131898656 is an apocalyptic number.

16131898656 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 16131898656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886938880).

16131898656 is an abundant number, since it is smaller than the sum of its proper divisors (31641979104).

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

16131898656 is a wasteful number, since it uses less digits than its factorization.

16131898656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 16131898656 in words is "sixteen billion, one hundred thirty-one million, eight hundred ninety-eight thousand, six hundred fifty-six".