112904281700352 has 672 divisors, whose sum is σ = 356727272101200. Its totient is φ = 35610224099328.

The previous prime is 112904281700303. The next prime is 112904281700359. The reversal of 112904281700352 is 253007182409211.

112904281700352 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 0 + 428 + 170 + 0 + 3 + 52 = 666.

112904281700352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112904281700298 and 112904281700307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112904281700359) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29302952058 + ... + 29302955910.

Almost surely, 2^{112904281700352} is an apocalyptic number.

112904281700352 is a gapful number since it is divisible by the number (12) 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 112904281700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178363636050600).

112904281700352 is an abundant number, since it is smaller than the sum of its proper divisors (243822990400848).

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

112904281700352 is an equidigital number, since it uses as much as digits as its factorization.

112904281700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 112904281700352 in words is "one hundred twelve trillion, nine hundred four billion, two hundred eighty-one million, seven hundred thousand, three hundred fifty-two".