248195268864 has 243 divisors, whose sum is σ = 729882346557. Its totient is φ = 81113628672.

The previous prime is 248195268859. The next prime is 248195268887. The reversal of 248195268864 is 468862591842.

The square root of 248195268864 is 498192.

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

248195268864 is a `hidden beast` number, since 2 + 48 + 1 + 9 + 526 + 8 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111449145600 + 136746123264 = 333840^2 + 369792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2319581899 + ... + 2319582005.

Almost surely, 2^248195268864 is an apocalyptic number.

248195268864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

248195268864 is the 498192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248195268864

248195268864 is an abundant number, since it is smaller than the sum of its proper divisors (481687077693).

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

248195268864 is an frugal number, since it uses more digits than its factorization.

248195268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 209 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 248195268864 in words is "two hundred forty-eight billion, one hundred ninety-five million, two hundred sixty-eight thousand, eight hundred sixty-four".