248107736062096 has 45 divisors (see below), whose sum is σ = 481773003778713. Its totient is φ = 123779824547520.

The previous prime is 248107736062093. The next prime is 248107736062183. The reversal of 248107736062096 is 690260637701842.

The square root of 248107736062096 is 15751436.

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., 233715728119696 + 14392007942400 = 15287764^2 + 3793680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248107736062093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30179747266 + ... + 30179755486.

Almost surely, 2^{248107736062096} is an apocalyptic number.

248107736062096 is the 15751436-th square number.

It is an amenable number.

248107736062096 is a deficient number, since it is larger than the sum of its proper divisors (233665267716617).

248107736062096 is an frugal number, since it uses more digits than its factorization.

248107736062096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17408 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 248107736062096 in words is "two hundred forty-eight trillion, one hundred seven billion, seven hundred thirty-six million, sixty-two thousand, ninety-six".