229856947205760 has 1280 divisors, whose sum is σ = 983146934880000. Its totient is φ = 51118618779648.

The previous prime is 229856947205737. The next prime is 229856947205777. The reversal of 229856947205760 is 67502749658922.

229856947205760 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 5 + 6 + 9 + 47 + 2 + 0 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 657726751 + ... + 658076129.

It is an arithmetic number, because the mean of its divisors is an integer number (768083542875).

Almost surely, 2^{229856947205760} is an apocalyptic number.

229856947205760 is a gapful number since it is divisible by the number (20) 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 229856947205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491573467440000).

229856947205760 is an abundant number, since it is smaller than the sum of its proper divisors (753289987674240).

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

229856947205760 is an equidigital number, since it uses as much as digits as its factorization.

229856947205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349468 (or 349433 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 229856947205760 in words is "two hundred twenty-nine trillion, eight hundred fifty-six billion, nine hundred forty-seven million, two hundred five thousand, seven hundred sixty".