112084937078400 has 1152 divisors, whose sum is σ = 470087880575040. Its totient is φ = 25070056243200.

The previous prime is 112084937078357. The next prime is 112084937078431. The reversal of 112084937078400 is 4870739480211.

112084937078400 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 493 + 70 + 7 + 84 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10942583679 + ... + 10942593921.

Almost surely, 2^{112084937078400} is an apocalyptic number.

112084937078400 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 112084937078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235043940287520).

112084937078400 is an abundant number, since it is smaller than the sum of its proper divisors (358002943496640).

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

112084937078400 is a wasteful number, since it uses less digits than its factorization.

112084937078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12954 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 112084937078400 in words is "one hundred twelve trillion, eighty-four billion, nine hundred thirty-seven million, seventy-eight thousand, four hundred".