113791886208 has 1536 divisors, whose sum is σ = 475092172800. Its totient is φ = 26336378880.

The previous prime is 113791886203. The next prime is 113791886237. The reversal of 113791886208 is 802688197311.

113791886208 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 9 + 1 + 8 + 8 + 620 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113791886203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 895999041 + ... + 895999167.

It is an arithmetic number, because the mean of its divisors is an integer number (309304800).

Almost surely, 2^113791886208 is an apocalyptic number.

113791886208 is a gapful number since it is divisible by the number (18) 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 113791886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237546086400).

113791886208 is an abundant number, since it is smaller than the sum of its proper divisors (361300286592).

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

113791886208 is a wasteful number, since it uses less digits than its factorization.

113791886208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

It can be divided in two parts, 113791 and 886208, that added together give a palindrome (999999).

The spelling of 113791886208 in words is "one hundred thirteen billion, seven hundred ninety-one million, eight hundred eighty-six thousand, two hundred eight".