113325504600 has 576 divisors, whose sum is σ = 449202499200. Its totient is φ = 23369472000.

The previous prime is 113325504583. The next prime is 113325504631. The reversal of 113325504600 is 6405523311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 44951340 + ... + 44953860.

It is an arithmetic number, because the mean of its divisors is an integer number (779865450).

Almost surely, 2^113325504600 is an apocalyptic number.

113325504600 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 113325504600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224601249600).

113325504600 is an abundant number, since it is smaller than the sum of its proper divisors (335876994600).

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

113325504600 is a wasteful number, since it uses less digits than its factorization.

113325504600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 113325504600 in words is "one hundred thirteen billion, three hundred twenty-five million, five hundred four thousand, six hundred".