113921458560 has 2560 divisors, whose sum is σ = 557344972800. Its totient is φ = 21499084800.

The previous prime is 113921458531. The next prime is 113921458583. The reversal of 113921458560 is 65854129311.

It is a happy number.

113921458560 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 2 + 1 + 4 + 585 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2778572140 + ... + 2778572180.

It is an arithmetic number, because the mean of its divisors is an integer number (217712880).

Almost surely, 2^113921458560 is an apocalyptic number.

113921458560 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 113921458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278672486400).

113921458560 is an abundant number, since it is smaller than the sum of its proper divisors (443423514240).

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

113921458560 is a wasteful number, since it uses less digits than its factorization.

113921458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 113921458560 in words is "one hundred thirteen billion, nine hundred twenty-one million, four hundred fifty-eight thousand, five hundred sixty".