113530331268144 has 240 divisors, whose sum is σ = 371051709170688. Its totient is φ = 31729194436608.

The previous prime is 113530331268071. The next prime is 113530331268199. The reversal of 113530331268144 is 441862133035311.

113530331268144 is a `hidden beast` number, since 1 + 1 + 3 + 53 + 0 + 331 + 268 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×113530331268144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113530331268144.

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, 83512879 + ... + 84861425.

Almost surely, 2^{113530331268144} is an apocalyptic number.

113530331268144 is a gapful number since it is divisible by the number (14) 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 113530331268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185525854585344).

113530331268144 is an abundant number, since it is smaller than the sum of its proper divisors (257521377902544).

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

113530331268144 is a wasteful number, since it uses less digits than its factorization.

113530331268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350392 (or 1350383 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 113530331268144 in words is "one hundred thirteen trillion, five hundred thirty billion, three hundred thirty-one million, two hundred sixty-eight thousand, one hundred forty-four".