112314492216 has 512 divisors, whose sum is σ = 357654528000. Its totient is φ = 32469465600.

The previous prime is 112314492187. The next prime is 112314492217. The reversal of 112314492216 is 612294413211.

112314492216 is a `hidden beast` number, since 112 + 31 + 4 + 492 + 21 + 6 = 666.

It is a super-2 number, since 2×112314492216² (a number of 23 digits) contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112314492217) 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, 383325766 + ... + 383326058.

It is an arithmetic number, because the mean of its divisors is an integer number (698544000).

Almost surely, 2^112314492216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112314492216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827264000).

112314492216 is an abundant number, since it is smaller than the sum of its proper divisors (245340035784).

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

112314492216 is a wasteful number, since it uses less digits than its factorization.

112314492216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 112314492216 in words is "one hundred twelve billion, three hundred fourteen million, four hundred ninety-two thousand, two hundred sixteen".