113534525233440 has 288 divisors, whose sum is σ = 410723069178240. Its totient is φ = 28460478799872.

The previous prime is 113534525233427. The next prime is 113534525233523. The reversal of 113534525233440 is 44332525435311.

113534525233440 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 4 + 52 + 523 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 17440941 + ... + 23048979.

It is an arithmetic number, because the mean of its divisors is an integer number (1426121767980).

Almost surely, 2^{113534525233440} is an apocalyptic number.

113534525233440 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 113534525233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205361534589120).

113534525233440 is an abundant number, since it is smaller than the sum of its proper divisors (297188543944800).

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

113534525233440 is a wasteful number, since it uses less digits than its factorization.

113534525233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608904 (or 5608893 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 113534525233440 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-five million, two hundred thirty-three thousand, four hundred forty".