113325004800 has 1152 divisors, whose sum is σ = 487468800000. Its totient is φ = 25794478080.

The previous prime is 113325004799. The next prime is 113325004873. The reversal of 113325004800 is 8400523311.

It is a happy number.

113325004800 is a `hidden beast` number, since 1 + 133 + 2 + 50 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474163081 + ... + 474163319.

It is an arithmetic number, because the mean of its divisors is an integer number (423150000).

Almost surely, 2^113325004800 is an apocalyptic number.

113325004800 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 113325004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400000).

113325004800 is an abundant number, since it is smaller than the sum of its proper divisors (374143795200).

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

113325004800 is an equidigital number, since it uses as much as digits as its factorization.

113325004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 113325004800 in words is "one hundred thirteen billion, three hundred twenty-five million, four thousand, eight hundred".