112731356160 has 528 divisors, whose sum is σ = 411095243520. Its totient is φ = 28523888640.

The previous prime is 112731356137. The next prime is 112731356161. The reversal of 112731356160 is 61653137211.

112731356160 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 1 + 35 + 616 + 0 = 666.

It is a super-3 number, since 3×112731356160³ (a number of 34 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (112731356161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75708696 + ... + 75710184.

Almost surely, 2^112731356160 is an apocalyptic number.

112731356160 is a gapful number since it is divisible by the number (10) 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 112731356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205547621760).

112731356160 is an abundant number, since it is smaller than the sum of its proper divisors (298363887360).

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

112731356160 is a wasteful number, since it uses less digits than its factorization.

112731356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 112731356160 in words is "one hundred twelve billion, seven hundred thirty-one million, three hundred fifty-six thousand, one hundred sixty".