113910489616896 has 640 divisors, whose sum is σ = 422089538112000. Its totient is φ = 29575124877312.

The previous prime is 113910489616849. The next prime is 113910489616939. The reversal of 113910489616896 is 698616984019311.

113910489616896 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 1 + 0 + 489 + 61 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46512760 + ... + 48900488.

It is an arithmetic number, because the mean of its divisors is an integer number (659514903300).

Almost surely, 2^{113910489616896} is an apocalyptic number.

113910489616896 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 113910489616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211044769056000).

113910489616896 is an abundant number, since it is smaller than the sum of its proper divisors (308179048495104).

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

113910489616896 is a wasteful number, since it uses less digits than its factorization.

113910489616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387809 (or 2387787 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 113910489616896 in words is "one hundred thirteen trillion, nine hundred ten billion, four hundred eighty-nine million, six hundred sixteen thousand, eight hundred ninety-six".