15668150112 has 288 divisors, whose sum is σ = 48335519232. Its totient is φ = 4987713024.

The previous prime is 15668150093. The next prime is 15668150143. The reversal of 15668150112 is 21105186651.

15668150112 is a `hidden beast` number, since 1 + 5 + 66 + 81 + 501 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×15668150112² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15714798 + ... + 15715794.

It is an arithmetic number, because the mean of its divisors is an integer number (167831664).

Almost surely, 2^15668150112 is an apocalyptic number.

15668150112 is a gapful number since it is divisible by the number (12) 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 15668150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167759616).

15668150112 is an abundant number, since it is smaller than the sum of its proper divisors (32667369120).

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

15668150112 is an equidigital number, since it uses as much as digits as its factorization.

15668150112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 15668150112 in words is "fifteen billion, six hundred sixty-eight million, one hundred fifty thousand, one hundred twelve".