248174345241 has 27 divisors (see below), whose sum is σ = 360639280053. Its totient is φ = 164456210520.

The previous prime is 248174345239. The next prime is 248174345261. The reversal of 248174345241 is 142543471842.

The square root of 248174345241 is 498171.

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

248174345241 is a `hidden beast` number, since 2 + 4 + 81 + 7 + 43 + 4 + 524 + 1 = 666.

It is not a de Polignac number, because 248174345241 - 2¹ = 248174345239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248174345231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315341850 + ... + 315342636.

Almost surely, 2^248174345241 is an apocalyptic number.

248174345241 is the 498171-st square number.

248174345241 is the 249086-th centered octagonal number.

It is an amenable number.

248174345241 is a deficient number, since it is larger than the sum of its proper divisors (112464934812).

248174345241 is an frugal number, since it uses more digits than its factorization.

248174345241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1001 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 248174345241 in words is "two hundred forty-eight billion, one hundred seventy-four million, three hundred forty-five thousand, two hundred forty-one".