229426041998304 has 1152 divisors, whose sum is σ = 780095785996800. Its totient is φ = 65864596193280.

The previous prime is 229426041998299. The next prime is 229426041998327. The reversal of 229426041998304 is 403899140624922.

229426041998304 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 2 + 604 + 19 + 9 + 8 + 3 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12917396784 + ... + 12917414544.

It is an arithmetic number, because the mean of its divisors is an integer number (677166480900).

Almost surely, 2^{229426041998304} is an apocalyptic number.

229426041998304 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 229426041998304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390047892998400).

229426041998304 is an abundant number, since it is smaller than the sum of its proper divisors (550669743998496).

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

229426041998304 is a wasteful number, since it uses less digits than its factorization.

229426041998304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17998 (or 17978 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 229426041998304 in words is "two hundred twenty-nine trillion, four hundred twenty-six billion, forty-one million, nine hundred ninety-eight thousand, three hundred four".