112886420400 has 360 divisors, whose sum is σ = 425125196496. Its totient is φ = 27573811200.

The previous prime is 112886420377. The next prime is 112886420401. The reversal of 112886420400 is 4024688211.

112886420400 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 642 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112886420401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6121594 + ... + 6140006.

Almost surely, 2^112886420400 is an apocalyptic number.

112886420400 is a gapful number since it is divisible by the number (10) 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 112886420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212562598248).

112886420400 is an abundant number, since it is smaller than the sum of its proper divisors (312238776096).

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

112886420400 is a wasteful number, since it uses less digits than its factorization.

112886420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18581 (or 18567 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 112886420400 in words is "one hundred twelve billion, eight hundred eighty-six million, four hundred twenty thousand, four hundred".