112437279068400 has 1800 divisors, whose sum is σ = 497411449451136. Its totient is φ = 24066545817600.

The previous prime is 112437279068363. The next prime is 112437279068419. The reversal of 112437279068400 is 4860972734211.

112437279068400 is a `hidden beast` number, since 1 + 1 + 2 + 43 + 72 + 79 + 0 + 68 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1385286219 + ... + 1385367381.

Almost surely, 2^{112437279068400} is an apocalyptic number.

112437279068400 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 112437279068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248705724725568).

112437279068400 is an abundant number, since it is smaller than the sum of its proper divisors (384974170382736).

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

112437279068400 is a wasteful number, since it uses less digits than its factorization.

112437279068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81253 (or 81220 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 112437279068400 in words is "one hundred twelve trillion, four hundred thirty-seven billion, two hundred seventy-nine million, sixty-eight thousand, four hundred".