226332013824 has 648 divisors, whose sum is σ = 816910436160. Its totient is φ = 58830520320.

The previous prime is 226332013813. The next prime is 226332013849. The reversal of 226332013824 is 428310233622.

226332013824 is a `hidden beast` number, since 2 + 2 + 633 + 2 + 0 + 13 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263482707 + ... + 263483565.

Almost surely, 2^226332013824 is an apocalyptic number.

226332013824 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 226332013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408455218080).

226332013824 is an abundant number, since it is smaller than the sum of its proper divisors (590578422336).

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

226332013824 is a wasteful number, since it uses less digits than its factorization.

226332013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226332013824 in words is "two hundred twenty-six billion, three hundred thirty-two million, thirteen thousand, eight hundred twenty-four".