113292112247280 has 480 divisors, whose sum is σ = 383686413926400. Its totient is φ = 29957298370560.

The previous prime is 113292112247219. The next prime is 113292112247287. The reversal of 113292112247280 is 82742211292311.

113292112247280 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 92 + 1 + 12 + 2 + 472 + 80 = 666.

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 (113292112247287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95928968290 + ... + 95928969470.

It is an arithmetic number, because the mean of its divisors is an integer number (799346695680).

Almost surely, 2^{113292112247280} is an apocalyptic number.

113292112247280 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 113292112247280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191843206963200).

113292112247280 is an abundant number, since it is smaller than the sum of its proper divisors (270394301679120).

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

113292112247280 is a wasteful number, since it uses less digits than its factorization.

113292112247280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 113292112247280 in words is "one hundred thirteen trillion, two hundred ninety-two billion, one hundred twelve million, two hundred forty-seven thousand, two hundred eighty".