248833364224 has 27 divisors (see below), whose sum is σ = 496710655077. Its totient is φ = 124412691456.

The previous prime is 248833364201. The next prime is 248833364237. The reversal of 248833364224 is 422463338842.

The square root of 248833364224 is 498832.

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., 190864134400 + 57969229824 = 436880^2 + 240768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7965724 + ... + 7996900.

Almost surely, 2^248833364224 is an apocalyptic number.

248833364224 is the 498832-nd square number.

It is an amenable number.

248833364224 is a deficient number, since it is larger than the sum of its proper divisors (247877290853).

248833364224 is an frugal number, since it uses more digits than its factorization.

248833364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62370 (or 31179 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 49.

Multiplying 248833364224 by its sum of digits (49), we get a square (12192834846976 = 3491824²).

The spelling of 248833364224 in words is "two hundred forty-eight billion, eight hundred thirty-three million, three hundred sixty-four thousand, two hundred twenty-four".