113805227404800 has 960 divisors, whose sum is σ = 428673500640000. Its totient is φ = 29560582471680.

The previous prime is 113805227404787. The next prime is 113805227404829. The reversal of 113805227404800 is 8404722508311.

113805227404800 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 0 + 522 + 7 + 40 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2546012851 + ... + 2546057549.

It is an arithmetic number, because the mean of its divisors is an integer number (446534896500).

Almost surely, 2^{113805227404800} is an apocalyptic number.

113805227404800 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 113805227404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214336750320000).

113805227404800 is an abundant number, since it is smaller than the sum of its proper divisors (314868273235200).

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

113805227404800 is a wasteful number, since it uses less digits than its factorization.

113805227404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44928 (or 44901 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 113805227404800 in words is "one hundred thirteen trillion, eight hundred five billion, two hundred twenty-seven million, four hundred four thousand, eight hundred".