112151039616 has 1024 divisors, whose sum is σ = 431020339200. Its totient is φ = 28452695040.

The previous prime is 112151039593. The next prime is 112151039617. The reversal of 112151039616 is 616930151211.

112151039616 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 5 + 1 + 0 + 39 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112151039617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2608163691 + ... + 2608163733.

It is an arithmetic number, because the mean of its divisors is an integer number (420918300).

Almost surely, 2^112151039616 is an apocalyptic number.

112151039616 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 112151039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215510169600).

112151039616 is an abundant number, since it is smaller than the sum of its proper divisors (318869299584).

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

112151039616 is an frugal number, since it uses more digits than its factorization.

112151039616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 112151039616 in words is "one hundred twelve billion, one hundred fifty-one million, thirty-nine thousand, six hundred sixteen".