113491214242560 has 7776 divisors, whose sum is σ = 568550837836800. Its totient is φ = 21520583884800.

The previous prime is 113491214242559. The next prime is 113491214242561. The reversal of 113491214242560 is 65242412194311.

113491214242560 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 9 + 1 + 2 + 1 + 42 + 42 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (113491214242559) and next prime (113491214242561).

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113491214242561) by changing a digit.

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 863 ways as a sum of consecutive naturals, for example, 1436597648601 + ... + 1436597648679.

Almost surely, 2^{113491214242560} is an apocalyptic number.

113491214242560 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 113491214242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284275418918400).

113491214242560 is an abundant number, since it is smaller than the sum of its proper divisors (455059623594240).

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

113491214242560 is a wasteful number, since it uses less digits than its factorization.

113491214242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 113491214242560 in words is "one hundred thirteen trillion, four hundred ninety-one billion, two hundred fourteen million, two hundred forty-two thousand, five hundred sixty".