112371161616 has 240 divisors, whose sum is σ = 379396967040. Its totient is φ = 30414382848.

The previous prime is 112371161603. The next prime is 112371161629. The reversal of 112371161616 is 616161173211.

It is a happy number.

112371161616 is a `hidden beast` number, since 1 + 1 + 2 + 37 + 1 + 1 + 6 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (112371161603) and next prime (112371161629).

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

It is a nude number because it is divisible by every one of its digits.

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, 6905746 + ... + 6921998.

It is an arithmetic number, because the mean of its divisors is an integer number (1580820696).

Almost surely, 2^112371161616 is an apocalyptic number.

112371161616 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 112371161616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189698483520).

112371161616 is an abundant number, since it is smaller than the sum of its proper divisors (267025805424).

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

112371161616 is a wasteful number, since it uses less digits than its factorization.

112371161616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16331 (or 16284 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The spelling of 112371161616 in words is "one hundred twelve billion, three hundred seventy-one million, one hundred sixty-one thousand, six hundred sixteen".