113394018816 has 480 divisors, whose sum is σ = 364747310928. Its totient is φ = 33690746880.

The previous prime is 113394018809. The next prime is 113394018821. The reversal of 113394018816 is 618810493311.

It can be written as a sum of positive squares in 8 ways, for example, as 6009350400 + 107384668416 = 77520^2 + 327696^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 336480600 + ... + 336480936.

Almost surely, 2^113394018816 is an apocalyptic number.

113394018816 is a gapful number since it is divisible by the number (16) 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 113394018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182373655464).

113394018816 is an abundant number, since it is smaller than the sum of its proper divisors (251353292112).

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

113394018816 is a wasteful number, since it uses less digits than its factorization.

113394018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 113394018816 in words is "one hundred thirteen billion, three hundred ninety-four million, eighteen thousand, eight hundred sixteen".