112678502400 has 1152 divisors, whose sum is σ = 456375254400. Its totient is φ = 26424115200.

The previous prime is 112678502399. The next prime is 112678502441. The reversal of 112678502400 is 4205876211.

112678502400 is a `hidden beast` number, since 112 + 67 + 85 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3634790385 + ... + 3634790415.

It is an arithmetic number, because the mean of its divisors is an integer number (396159075).

Almost surely, 2^112678502400 is an apocalyptic number.

112678502400 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 112678502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228187627200).

112678502400 is an abundant number, since it is smaller than the sum of its proper divisors (343696752000).

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

112678502400 is a wasteful number, since it uses less digits than its factorization.

112678502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 112678502400 in words is "one hundred twelve billion, six hundred seventy-eight million, five hundred two thousand, four hundred".