226949914800 has 1200 divisors, whose sum is σ = 981448849920. Its totient is φ = 49104506880.

The previous prime is 226949914769. The next prime is 226949914811. The reversal of 226949914800 is 8419949622.

226949914800 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 499 + 148 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 725079444 + ... + 725079756.

Almost surely, 2^226949914800 is an apocalyptic number.

226949914800 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 226949914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490724424960).

226949914800 is an abundant number, since it is smaller than the sum of its proper divisors (754498935120).

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

226949914800 is a wasteful number, since it uses less digits than its factorization.

226949914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 226949914800 in words is "two hundred twenty-six billion, nine hundred forty-nine million, nine hundred fourteen thousand, eight hundred".