112302327816 has 192 divisors, whose sum is σ = 359168409600. Its totient is φ = 31020796800.

The previous prime is 112302327803. The next prime is 112302327821. The reversal of 112302327816 is 618723203211.

112302327816 is a `hidden beast` number, since 1 + 12 + 302 + 327 + 8 + 16 = 666.

It is a super-2 number, since 2×112302327816² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19230225 + ... + 19236063.

It is an arithmetic number, because the mean of its divisors is an integer number (1870668800).

Almost surely, 2^112302327816 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 112302327816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179584204800).

112302327816 is an abundant number, since it is smaller than the sum of its proper divisors (246866081784).

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

112302327816 is a wasteful number, since it uses less digits than its factorization.

112302327816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 112302327816 in words is "one hundred twelve billion, three hundred two million, three hundred twenty-seven thousand, eight hundred sixteen".