248463558161 has 48 divisors (see below), whose sum is σ = 310050183168. Its totient is φ = 194951577600.

The previous prime is 248463558151. The next prime is 248463558181. The reversal of 248463558161 is 161855364842.

It is not a de Polignac number, because 248463558161 - 2²² = 248459363857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248463558121) 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 47 ways as a sum of consecutive naturals, for example, 73269776 + ... + 73273166.

It is an arithmetic number, because the mean of its divisors is an integer number (6459378816).

Almost surely, 2^248463558161 is an apocalyptic number.

It is an amenable number.

248463558161 is a deficient number, since it is larger than the sum of its proper divisors (61586625007).

248463558161 is a wasteful number, since it uses less digits than its factorization.

248463558161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3909 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 53.

The spelling of 248463558161 in words is "two hundred forty-eight billion, four hundred sixty-three million, five hundred fifty-eight thousand, one hundred sixty-one".