112077179136 has 216 divisors, whose sum is σ = 363136353216. Its totient is φ = 32985722880.

The previous prime is 112077179129. The next prime is 112077179143. The reversal of 112077179136 is 631971770211.

It is an interprime number because it is at equal distance from previous prime (112077179129) and next prime (112077179143).

It is a super-2 number, since 2×112077179136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112077179091 and 112077179100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607551 + ... + 770241.

Almost surely, 2^112077179136 is an apocalyptic number.

112077179136 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 112077179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181568176608).

112077179136 is an abundant number, since it is smaller than the sum of its proper divisors (251059174080).

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

112077179136 is a wasteful number, since it uses less digits than its factorization.

112077179136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162749 (or 162732 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 112077179136 in words is "one hundred twelve billion, seventy-seven million, one hundred seventy-nine thousand, one hundred thirty-six".