113335726400 has 126 divisors (see below), whose sum is σ = 301979655882. Its totient is φ = 41846937600.

The previous prime is 113335726397. The next prime is 113335726433. The reversal of 113335726400 is 4627533311.

It can be written as a sum of positive squares in 9 ways, for example, as 87815024896 + 25520701504 = 296336^2 + 159752^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 60830 + ... + 479970.

Almost surely, 2^113335726400 is an apocalyptic number.

113335726400 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 113335726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150989827941).

113335726400 is an abundant number, since it is smaller than the sum of its proper divisors (188643929482).

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

113335726400 is a wasteful number, since it uses less digits than its factorization.

113335726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419189 (or 419161 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 113335726400 in words is "one hundred thirteen billion, three hundred thirty-five million, seven hundred twenty-six thousand, four hundred".