113201460576 has 144 divisors (see below), whose sum is σ = 334383049728. Its totient is φ = 37672387200.

The previous prime is 113201460551. The next prime is 113201460607. The reversal of 113201460576 is 675064102311.

113201460576 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 1 + 4 + 60 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113201460576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4895121 + ... + 4918191.

It is an arithmetic number, because the mean of its divisors is an integer number (2322104512).

Almost surely, 2^113201460576 is an apocalyptic number.

113201460576 is a gapful number since it is divisible by the number (16) 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 113201460576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167191524864).

113201460576 is an abundant number, since it is smaller than the sum of its proper divisors (221181589152).

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

113201460576 is an equidigital number, since it uses as much as digits as its factorization.

113201460576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23727 (or 23707 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 113201460576 its reverse (675064102311), we get a palindrome (788265562887).

The spelling of 113201460576 in words is "one hundred thirteen billion, two hundred one million, four hundred sixty thousand, five hundred seventy-six".