248346081 has 45 divisors (see below), whose sum is σ = 397955811. Its totient is φ = 154312128.

The previous prime is 248346029. The next prime is 248346083. The reversal of 248346081 is 180643842.

The square root of 248346081 is 15759.

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

248346081 is a `hidden beast` number, since 2 + 48 + 3 + 4 + 608 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193349025 + 54997056 = 13905^2 + 7416^2 .

It is not a de Polignac number, because 248346081 - 2⁷ = 248345953 is a prime.

It is a super-2 number, since 2×248346081² = 123351551896117122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (248346083) 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 44 ways as a sum of consecutive naturals, for example, 2411076 + ... + 2411178.

Almost surely, 2^248346081 is an apocalyptic number.

248346081 is the 15759-th square number.

248346081 is the 7880-th centered octagonal number.

It is an amenable number.

248346081 is a deficient number, since it is larger than the sum of its proper divisors (149609730).

248346081 is an equidigital number, since it uses as much as digits as its factorization.

248346081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 248346081 is about 628.5682452195.

Multiplying 248346081 by its sum of digits (36), we get a square (8940458916 = 94554²).

Multiplying 248346081 by its product of nonzero digits (36864), we get a square (9155029929984 = 3025728²).

The spelling of 248346081 in words is "two hundred forty-eight million, three hundred forty-six thousand, eighty-one".