226296132624 has 120 divisors (see below), whose sum is σ = 666055084032. Its totient is φ = 71584128000.

The previous prime is 226296132619. The next prime is 226296132631. The reversal of 226296132624 is 426231692622.

226296132624 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 9 + 6 + 13 + 2 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 226296132624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151624 + ... + 689624.

Almost surely, 2^226296132624 is an apocalyptic number.

226296132624 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 226296132624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333027542016).

226296132624 is an abundant number, since it is smaller than the sum of its proper divisors (439758951408).

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

226296132624 is a wasteful number, since it uses less digits than its factorization.

226296132624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538165 (or 538156 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 226296132624 in words is "two hundred twenty-six billion, two hundred ninety-six million, one hundred thirty-two thousand, six hundred twenty-four".