248995335050441 has 12 divisors (see below), whose sum is σ = 289648356152580. Its totient is φ = 213424041267360.

The previous prime is 248995335050411. The next prime is 248995335050471. The reversal of 248995335050441 is 144050533599842.

It is an interprime number because it is at equal distance from previous prime (248995335050411) and next prime (248995335050471).

It can be written as a sum of positive squares in 2 ways, for example, as 207090375703225 + 41904959347216 = 14390635^2 + 6473404^2 .

It is not a de Polignac number, because 248995335050441 - 2⁶ = 248995335050377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248995335050411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14216555 + ... + 26459423.

It is an arithmetic number, because the mean of its divisors is an integer number (24137363012715).

Almost surely, 2^{248995335050441} is an apocalyptic number.

It is an amenable number.

248995335050441 is a deficient number, since it is larger than the sum of its proper divisors (40653021102139).

248995335050441 is a wasteful number, since it uses less digits than its factorization.

248995335050441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657944 (or 12657937 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 62.

The spelling of 248995335050441 in words is "two hundred forty-eight trillion, nine hundred ninety-five billion, three hundred thirty-five million, fifty thousand, four hundred forty-one".