248665784896 has 63 divisors (see below), whose sum is σ = 500128878963. Its totient is φ = 122671344000.

The previous prime is 248665784837. The next prime is 248665784947. The reversal of 248665784896 is 698487566842.

The square root of 248665784896 is 498664.

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

It is a Duffinian number.

Its product of digits (1114767360) is a multiple of the sum of its prime factors (1680).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331112521 + ... + 331113271.

Almost surely, 2^248665784896 is an apocalyptic number.

248665784896 is the 498664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248665784896

248665784896 is an abundant number, since it is smaller than the sum of its proper divisors (251463094067).

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

248665784896 is an frugal number, since it uses more digits than its factorization.

248665784896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 836 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 73.

The spelling of 248665784896 in words is "two hundred forty-eight billion, six hundred sixty-five million, seven hundred eighty-four thousand, eight hundred ninety-six".