226011592800 has 864 divisors, whose sum is σ = 947639347200. Its totient is φ = 49592954880.

The previous prime is 226011592787. The next prime is 226011592861. The reversal of 226011592800 is 8295110622.

226011592800 is a `hidden beast` number, since 2 + 2 + 60 + 1 + 1 + 592 + 8 + 0 + 0 = 666.

226011592800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 349322077 + ... + 349322723.

It is an arithmetic number, because the mean of its divisors is an integer number (1096804800).

Almost surely, 2^226011592800 is an apocalyptic number.

226011592800 is a gapful number since it is divisible by the number (20) 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 226011592800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473819673600).

226011592800 is an abundant number, since it is smaller than the sum of its proper divisors (721627754400).

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

226011592800 is a wasteful number, since it uses less digits than its factorization.

226011592800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 226011592800 in words is "two hundred twenty-six billion, eleven million, five hundred ninety-two thousand, eight hundred".