113534525105532 has 168 divisors, whose sum is σ = 315451621922976. Its totient is φ = 35614528395264.

The previous prime is 113534525105503. The next prime is 113534525105557. The reversal of 113534525105532 is 235501525435311.

113534525105532 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 4 + 5 + 2 + 5 + 105 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 440417508 + ... + 440675220.

It is an arithmetic number, because the mean of its divisors is an integer number (1877688225732).

Almost surely, 2^{113534525105532} is an apocalyptic number.

113534525105532 is a gapful number since it is divisible by the number (12) 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 113534525105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157725810961488).

113534525105532 is an abundant number, since it is smaller than the sum of its proper divisors (201917096817444).

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

113534525105532 is a wasteful number, since it uses less digits than its factorization.

113534525105532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266639 (or 266622 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 113534525105532 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-five million, one hundred five thousand, five hundred thirty-two".