112774348800 has 396 divisors, whose sum is σ = 405672986160. Its totient is φ = 29947330560.

The previous prime is 112774348781. The next prime is 112774348807. The reversal of 112774348800 is 8843477211.

112774348800 is a `hidden beast` number, since 1 + 127 + 7 + 43 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×112774348800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112774348807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 471859081 + ... + 471859319.

Almost surely, 2^112774348800 is an apocalyptic number.

112774348800 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 112774348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202836493080).

112774348800 is an abundant number, since it is smaller than the sum of its proper divisors (292898637360).

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

112774348800 is an frugal number, since it uses more digits than its factorization.

112774348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 112774348800 in words is "one hundred twelve billion, seven hundred seventy-four million, three hundred forty-eight thousand, eight hundred".