229736249256960 has 704 divisors, whose sum is σ = 863009959680000. Its totient is φ = 57795634003968.

The previous prime is 229736249256937. The next prime is 229736249257117. The reversal of 229736249256960 is 69652942637922.

229736249256960 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 36 + 24 + 9 + 2 + 569 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 627564856 + ... + 627930824.

It is an arithmetic number, because the mean of its divisors is an integer number (1225866420000).

Almost surely, 2^{229736249256960} is an apocalyptic number.

229736249256960 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 229736249256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431504979840000).

229736249256960 is an abundant number, since it is smaller than the sum of its proper divisors (633273710423040).

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

229736249256960 is a wasteful number, since it uses less digits than its factorization.

229736249256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366261 (or 366237 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 229736249256960 in words is "two hundred twenty-nine trillion, seven hundred thirty-six billion, two hundred forty-nine million, two hundred fifty-six thousand, nine hundred sixty".