230152201709824 has 27 divisors (see below), whose sum is σ = 459405855898633. Its totient is φ = 115075979488768.

The previous prime is 230152201709813. The next prime is 230152201709839. The reversal of 230152201709824 is 428907102251032.

It is a happy number.

The square root of 230152201709824 is 15170768.

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

It can be written as a sum of positive squares in only one way, i.e., 228752315193600 + 1399886516224 = 15124560^2 + 1183168^2 .

It is a super-2 number, since 2×230152201709824² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 242258202 + ... + 243206374.

Almost surely, 2^{230152201709824} is an apocalyptic number.

230152201709824 is the 15170768-th square number.

It is an amenable number.

230152201709824 is a deficient number, since it is larger than the sum of its proper divisors (229253654188809).

230152201709824 is an frugal number, since it uses more digits than its factorization.

230152201709824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896362 (or 948175 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 230152201709824 in words is "two hundred thirty trillion, one hundred fifty-two billion, two hundred one million, seven hundred nine thousand, eight hundred twenty-four".