226807910784 has 768 divisors, whose sum is σ = 839069038080. Its totient is φ = 59385249792.

The previous prime is 226807910761. The next prime is 226807910803. The reversal of 226807910784 is 487019708622.

It is a happy number.

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 226807910784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642515152 + ... + 642515504.

It is an arithmetic number, because the mean of its divisors is an integer number (1092537810).

Almost surely, 2^226807910784 is an apocalyptic number.

226807910784 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 226807910784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419534519040).

226807910784 is an abundant number, since it is smaller than the sum of its proper divisors (612261127296).

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

226807910784 is a wasteful number, since it uses less digits than its factorization.

226807910784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 226807910784 in words is "two hundred twenty-six billion, eight hundred seven million, nine hundred ten thousand, seven hundred eighty-four".