229872659048704 has 243 divisors, whose sum is σ = 567077094095337. Its totient is φ = 92710100754432.

The previous prime is 229872659048701. The next prime is 229872659048707. The reversal of 229872659048704 is 407840956278922.

The square root of 229872659048704 is 15161552.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (229872659048701) and next prime (229872659048707).

It can be written as a sum of positive squares in only one way, i.e., 178966603065600 + 50906055983104 = 13377840^2 + 7134848^2 .

It is not an unprimeable number, because it can be changed into a prime (229872659048701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28867591027 + ... + 28867598989.

Almost surely, 2^{229872659048704} is an apocalyptic number.

229872659048704 is the 15161552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229872659048704

229872659048704 is an abundant number, since it is smaller than the sum of its proper divisors (337204435046633).

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

229872659048704 is an frugal number, since it uses more digits than its factorization.

229872659048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 73.

The spelling of 229872659048704 in words is "two hundred twenty-nine trillion, eight hundred seventy-two billion, six hundred fifty-nine million, forty-eight thousand, seven hundred four".