226943312307264 has 840 divisors, whose sum is σ = 794801725071552. Its totient is φ = 63829831403520.

The previous prime is 226943312307233. The next prime is 226943312307289. The reversal of 226943312307264 is 462703213349622.

226943312307264 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 4 + 331 + 230 + 72 + 6 + 4 = 666.

It is a super-2 number, since 2×226943312307264² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226943312307264.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12209777779 + ... + 12209796365.

Almost surely, 2^{226943312307264} is an apocalyptic number.

226943312307264 is a gapful number since it is divisible by the number (24) 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 226943312307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397400862535776).

226943312307264 is an abundant number, since it is smaller than the sum of its proper divisors (567858412764288).

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

226943312307264 is a wasteful number, since it uses less digits than its factorization.

226943312307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19373 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 226943312307264 in words is "two hundred twenty-six trillion, nine hundred forty-three billion, three hundred twelve million, three hundred seven thousand, two hundred sixty-four".