248640852321 has 27 divisors (see below), whose sum is σ = 360939412561. Its totient is φ = 164937813864.

The previous prime is 248640852301. The next prime is 248640852323. The reversal of 248640852321 is 123258046842.

The square root of 248640852321 is 498639.

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

248640852321 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 408 + 5 + 232 + 1 = 666.

It is not a de Polignac number, because 248640852321 - 2²⁵ = 248607297889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248640852323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 519082960 + ... + 519083438.

Almost surely, 2^248640852321 is an apocalyptic number.

248640852321 is the 498639-th square number.

248640852321 is the 249320-th centered octagonal number.

It is an amenable number.

248640852321 is a deficient number, since it is larger than the sum of its proper divisors (112298560240).

248640852321 is an frugal number, since it uses more digits than its factorization.

248640852321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 248640852321 in words is "two hundred forty-eight billion, six hundred forty million, eight hundred fifty-two thousand, three hundred twenty-one".