229952438784 has 640 divisors, whose sum is σ = 741273984000. Its totient is φ = 70158680064.

The previous prime is 229952438773. The next prime is 229952438809. The reversal of 229952438784 is 487834259922.

229952438784 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 524 + 38 + 78 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1284650407 + ... + 1284650585.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240600).

Almost surely, 2^229952438784 is an apocalyptic number.

229952438784 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 229952438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370636992000).

229952438784 is an abundant number, since it is smaller than the sum of its proper divisors (511321545216).

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

229952438784 is a wasteful number, since it uses less digits than its factorization.

229952438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 229952438784 in words is "two hundred twenty-nine billion, nine hundred fifty-two million, four hundred thirty-eight thousand, seven hundred eighty-four".