57231949824 has 405 divisors, whose sum is σ = 194509859817. Its totient is φ = 16168255488.

The previous prime is 57231949793. The next prime is 57231949847. The reversal of 57231949824 is 42894913275.

The square root of 57231949824 is 239232.

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

57231949824 is a `hidden beast` number, since 572 + 3 + 1 + 9 + 49 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10989748224 + 46242201600 = 104832^2 + 215040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 643055572 + ... + 643055660.

Almost surely, 2^57231949824 is an apocalyptic number.

57231949824 is the 239232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57231949824

57231949824 is an abundant number, since it is smaller than the sum of its proper divisors (137277909993).

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

57231949824 is an frugal number, since it uses more digits than its factorization.

57231949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 101 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 57231949824 in words is "fifty-seven billion, two hundred thirty-one million, nine hundred forty-nine thousand, eight hundred twenty-four".