113254606080 has 1728 divisors, whose sum is σ = 521433884160. Its totient is φ = 22773104640.

The previous prime is 113254606037. The next prime is 113254606139. The reversal of 113254606080 is 80606452311.

It is a happy number.

113254606080 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 5 + 46 + 0 + 608 + 0 = 666.

113254606080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1551432924 + ... + 1551432996.

It is an arithmetic number, because the mean of its divisors is an integer number (301755720).

Almost surely, 2^113254606080 is an apocalyptic number.

113254606080 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 113254606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260716942080).

113254606080 is an abundant number, since it is smaller than the sum of its proper divisors (408179278080).

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

113254606080 is a wasteful number, since it uses less digits than its factorization.

113254606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 113254606080 in words is "one hundred thirteen billion, two hundred fifty-four million, six hundred six thousand, eighty".