248765527696 has 135 divisors (see below), whose sum is σ = 574372886499. Its totient is φ = 104070101184.

The previous prime is 248765527679. The next prime is 248765527723. The reversal of 248765527696 is 696725567842.

The square root of 248765527696 is 498764.

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

248765527696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

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, 656373235 + ... + 656373613.

Almost surely, 2^248765527696 is an apocalyptic number.

248765527696 is the 498764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248765527696

248765527696 is an abundant number, since it is smaller than the sum of its proper divisors (325607358803).

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

248765527696 is an frugal number, since it uses more digits than its factorization.

248765527696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 435 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 67.

The spelling of 248765527696 in words is "two hundred forty-eight billion, seven hundred sixty-five million, five hundred twenty-seven thousand, six hundred ninety-six".