113631098880 has 768 divisors, whose sum is σ = 416078208000. Its totient is φ = 26263683072.

The previous prime is 113631098863. The next prime is 113631098921. The reversal of 113631098880 is 88890136311.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817489851 + ... + 817489989.

It is an arithmetic number, because the mean of its divisors is an integer number (541768500).

Almost surely, 2^113631098880 is an apocalyptic number.

113631098880 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 113631098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104000).

113631098880 is an abundant number, since it is smaller than the sum of its proper divisors (302447109120).

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

113631098880 is a wasteful number, since it uses less digits than its factorization.

113631098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 113631098880 in words is "one hundred thirteen billion, six hundred thirty-one million, ninety-eight thousand, eight hundred eighty".