248493859361344 has 21 divisors (see below), whose sum is σ = 493105252418841. Its totient is φ = 124246866625920.

The previous prime is 248493859361339. The next prime is 248493859361357. The reversal of 248493859361344 is 443163958394842.

The square root of 248493859361344 is 15763688.

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., 234950281735744 + 13543577625600 = 15328088^2 + 3680160^2 .

It is a super-2 number, since 2×248493859361344² (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, 125124274 + ... + 127094734.

Almost surely, 2^{248493859361344} is an apocalyptic number.

248493859361344 is the 15763688-th square number.

It is an amenable number.

248493859361344 is a deficient number, since it is larger than the sum of its proper divisors (244611393057497).

248493859361344 is an frugal number, since it uses more digits than its factorization.

248493859361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940934 (or 1970463 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 73.

The spelling of 248493859361344 in words is "two hundred forty-eight trillion, four hundred ninety-three billion, eight hundred fifty-nine million, three hundred sixty-one thousand, three hundred forty-four".