229624111238256 has 640 divisors, whose sum is σ = 800524991692800. Its totient is φ = 61654609658880.

The previous prime is 229624111238243. The next prime is 229624111238287. The reversal of 229624111238256 is 652832111426922.

229624111238256 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 241 + 1 + 12 + 382 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360260326 + ... + 360897146.

It is an arithmetic number, because the mean of its divisors is an integer number (1250820299520).

Almost surely, 2^{229624111238256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229624111238256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400262495846400).

229624111238256 is an abundant number, since it is smaller than the sum of its proper divisors (570900880454544).

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

229624111238256 is a wasteful number, since it uses less digits than its factorization.

229624111238256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636994 (or 636982 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 229624111238256 in words is "two hundred twenty-nine trillion, six hundred twenty-four billion, one hundred eleven million, two hundred thirty-eight thousand, two hundred fifty-six".