229549664147328 has 2048 divisors, whose sum is σ = 852665425920000. Its totient is φ = 59344640409600.

The previous prime is 229549664147299. The next prime is 229549664147339. The reversal of 229549664147328 is 823741466945922.

229549664147328 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 4 + 96 + 6 + 41 + 473 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176440940278 + ... + 176440941578.

It is an arithmetic number, because the mean of its divisors is an integer number (416340540000).

Almost surely, 2^{229549664147328} is an apocalyptic number.

229549664147328 is a gapful number since it is divisible by the number (28) 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 229549664147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426332712960000).

229549664147328 is an abundant number, since it is smaller than the sum of its proper divisors (623115761772672).

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

229549664147328 is a wasteful number, since it uses less digits than its factorization.

229549664147328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1567 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 229549664147328 in words is "two hundred twenty-nine trillion, five hundred forty-nine billion, six hundred sixty-four million, one hundred forty-seven thousand, three hundred twenty-eight".