226643773356000 has 11520 divisors, whose sum is σ = 1235880429848064. Its totient is φ = 39414988800000.

The previous prime is 226643773355977. The next prime is 226643773356059. The reversal of 226643773356000 is 653377346622.

226643773356000 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 4 + 3 + 7 + 73 + 3 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 2243997755950 + ... + 2243997756050.

Almost surely, 2^{226643773356000} is an apocalyptic number.

226643773356000 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 226643773356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617940214924032).

226643773356000 is an abundant number, since it is smaller than the sum of its proper divisors (1009236656492064).

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

226643773356000 is a wasteful number, since it uses less digits than its factorization.

226643773356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 226643773356000 in words is "two hundred twenty-six trillion, six hundred forty-three billion, seven hundred seventy-three million, three hundred fifty-six thousand".