113485226760 has 192 divisors, whose sum is σ = 386611505280. Its totient is φ = 28837831680.

The previous prime is 113485226609. The next prime is 113485226783. The reversal of 113485226760 is 67622584311.

113485226760 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 522 + 67 + 60 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545277 + ... + 724083.

It is an arithmetic number, because the mean of its divisors is an integer number (2013601590).

Almost surely, 2^113485226760 is an apocalyptic number.

113485226760 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 113485226760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193305752640).

113485226760 is an abundant number, since it is smaller than the sum of its proper divisors (273126278520).

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

113485226760 is a wasteful number, since it uses less digits than its factorization.

113485226760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178908 (or 178901 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 113485226760 in words is "one hundred thirteen billion, four hundred eighty-five million, two hundred twenty-six thousand, seven hundred sixty".