113302688163840 has 3072 divisors, whose sum is σ = 490058234265600. Its totient is φ = 24289188249600.

The previous prime is 113302688163827. The next prime is 113302688163911. The reversal of 113302688163840 is 48361886203311.

113302688163840 is a `hidden beast` number, since 1 + 1 + 330 + 268 + 8 + 1 + 6 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×113302688163840³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 303760557894 + ... + 303760558266.

It is an arithmetic number, because the mean of its divisors is an integer number (159524164800).

Almost surely, 2^{113302688163840} is an apocalyptic number.

113302688163840 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 113302688163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245029117132800).

113302688163840 is an abundant number, since it is smaller than the sum of its proper divisors (376755546101760).

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

113302688163840 is a wasteful number, since it uses less digits than its factorization.

113302688163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 113302688163840 in words is "one hundred thirteen trillion, three hundred two billion, six hundred eighty-eight million, one hundred sixty-three thousand, eight hundred forty".