248737597696 has 243 divisors, whose sum is σ = 595342743723. Its totient is φ = 103417896960.

The previous prime is 248737597673. The next prime is 248737597697. The reversal of 248737597696 is 696795737842.

The square root of 248737597696 is 498736.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64923040000 + 183814557696 = 254800^2 + 428736^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (248737597697) 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, 3407364316 + ... + 3407364388.

Almost surely, 2^248737597696 is an apocalyptic number.

248737597696 is the 498736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248737597696

248737597696 is an abundant number, since it is smaller than the sum of its proper divisors (346605146027).

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

248737597696 is an frugal number, since it uses more digits than its factorization.

248737597696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 143 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 73.

The spelling of 248737597696 in words is "two hundred forty-eight billion, seven hundred thirty-seven million, five hundred ninety-seven thousand, six hundred ninety-six".