112016378952 has 128 divisors (see below), whose sum is σ = 317315232000. Its totient is φ = 36601044480.

The previous prime is 112016378879. The next prime is 112016378977. The reversal of 112016378952 is 259873610211.

112016378952 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 637 + 8 + 9 + 5 + 2 = 666.

It is a super-3 number, since 3×112016378952³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112016378898 and 112016378907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14752677 + ... + 14760267.

It is an arithmetic number, because the mean of its divisors is an integer number (2479025250).

Almost surely, 2^112016378952 is an apocalyptic number.

112016378952 is a gapful number since it is divisible by the number (12) 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 112016378952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158657616000).

112016378952 is an abundant number, since it is smaller than the sum of its proper divisors (205298853048).

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

112016378952 is a wasteful number, since it uses less digits than its factorization.

112016378952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 112016378952 in words is "one hundred twelve billion, sixteen million, three hundred seventy-eight thousand, nine hundred fifty-two".