112677770304 has 336 divisors, whose sum is σ = 377184976896. Its totient is φ = 33041779200.

The previous prime is 112677770267. The next prime is 112677770311. The reversal of 112677770304 is 403077776211.

It is a happy number.

112677770304 is a `hidden beast` number, since 11 + 267 + 7 + 7 + 70 + 304 = 666.

It is a super-3 number, since 3×112677770304³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112677770304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5292609 + ... + 5313855.

It is an arithmetic number, because the mean of its divisors is an integer number (1122574336).

Almost surely, 2^112677770304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112677770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188592488448).

112677770304 is an abundant number, since it is smaller than the sum of its proper divisors (264507206592).

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

112677770304 is a wasteful number, since it uses less digits than its factorization.

112677770304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21316 (or 21294 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 112677770304 in words is "one hundred twelve billion, six hundred seventy-seven million, seven hundred seventy thousand, three hundred four".