113218293760 has 416 divisors, whose sum is σ = 324514576512. Its totient is φ = 37371248640.

The previous prime is 113218293757. The next prime is 113218293823. The reversal of 113218293760 is 67392812311.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196218592 + ... + 196219168.

Almost surely, 2^113218293760 is an apocalyptic number.

113218293760 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 113218293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162257288256).

113218293760 is an abundant number, since it is smaller than the sum of its proper divisors (211296282752).

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

113218293760 is a wasteful number, since it uses less digits than its factorization.

113218293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 113218293760 in words is "one hundred thirteen billion, two hundred eighteen million, two hundred ninety-three thousand, seven hundred sixty".