113494134528 has 288 divisors, whose sum is σ = 342413332800. Its totient is φ = 37073977344.

The previous prime is 113494134521. The next prime is 113494134553. The reversal of 113494134528 is 825431494311.

113494134528 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 94 + 1 + 34 + 528 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113494134521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73079800 + ... + 73081352.

Almost surely, 2^113494134528 is an apocalyptic number.

113494134528 is a gapful number since it is divisible by the number (18) 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 113494134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171206666400).

113494134528 is an abundant number, since it is smaller than the sum of its proper divisors (228919198272).

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

113494134528 is a wasteful number, since it uses less digits than its factorization.

113494134528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1764 counting only the distinct ones).

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

The spelling of 113494134528 in words is "one hundred thirteen billion, four hundred ninety-four million, one hundred thirty-four thousand, five hundred twenty-eight".