112981137849216 has 896 divisors, whose sum is σ = 439774008004800. Its totient is φ = 28044409503744.

The previous prime is 112981137849163. The next prime is 112981137849241. The reversal of 112981137849216 is 612948731189211.

112981137849216 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 8 + 1 + 1 + 378 + 49 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143962330 + ... + 144744998.

Almost surely, 2^{112981137849216} is an apocalyptic number.

112981137849216 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 112981137849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219887004002400).

112981137849216 is an abundant number, since it is smaller than the sum of its proper divisors (326792870155584).

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

112981137849216 is an equidigital number, since it uses as much as digits as its factorization.

112981137849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782738 (or 782711 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The spelling of 112981137849216 in words is "one hundred twelve trillion, nine hundred eighty-one billion, one hundred thirty-seven million, eight hundred forty-nine thousand, two hundred sixteen".