112307650416 has 320 divisors, whose sum is σ = 356617175040. Its totient is φ = 33625912320.

The previous prime is 112307650397. The next prime is 112307650471. The reversal of 112307650416 is 614056703211.

112307650416 is a `hidden beast` number, since 1 + 1 + 230 + 7 + 6 + 5 + 0 + 416 = 666.

It is a super-2 number, since 2×112307650416² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37799811 + ... + 37802781.

It is an arithmetic number, because the mean of its divisors is an integer number (1114428672).

Almost surely, 2^112307650416 is an apocalyptic number.

112307650416 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 112307650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308587520).

112307650416 is an abundant number, since it is smaller than the sum of its proper divisors (244309524624).

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

112307650416 is a wasteful number, since it uses less digits than its factorization.

112307650416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 112307650416 in words is "one hundred twelve billion, three hundred seven million, six hundred fifty thousand, four hundred sixteen".