226953662302080 has 2304 divisors, whose sum is σ = 945770989363200. Its totient is φ = 49972401045504.

The previous prime is 226953662302051. The next prime is 226953662302097. The reversal of 226953662302080 is 80203266359622.

226953662302080 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 5 + 3 + 6 + 623 + 0 + 2 + 0 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 352960594239 + ... + 352960594881.

It is an arithmetic number, because the mean of its divisors is an integer number (410490880800).

Almost surely, 2^{226953662302080} is an apocalyptic number.

226953662302080 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 226953662302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472885494681600).

226953662302080 is an abundant number, since it is smaller than the sum of its proper divisors (718817327061120).

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

226953662302080 is a wasteful number, since it uses less digits than its factorization.

226953662302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 226953662302080 in words is "two hundred twenty-six trillion, nine hundred fifty-three billion, six hundred sixty-two million, three hundred two thousand, eighty".