226721686800 has 720 divisors, whose sum is σ = 902374387200. Its totient is φ = 48409804800.

The previous prime is 226721686777. The next prime is 226721686813. The reversal of 226721686800 is 8686127622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 226721686800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52859056 + ... + 52863344.

It is an arithmetic number, because the mean of its divisors is an integer number (1253297760).

Almost surely, 2^226721686800 is an apocalyptic number.

226721686800 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 226721686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451187193600).

226721686800 is an abundant number, since it is smaller than the sum of its proper divisors (675652700400).

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

226721686800 is a wasteful number, since it uses less digits than its factorization.

226721686800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 226721686800 in words is "two hundred twenty-six billion, seven hundred twenty-one million, six hundred eighty-six thousand, eight hundred".