8045249256441 has 16 divisors (see below), whose sum is σ = 12241019891200. Its totient is φ = 5218540057584.

The previous prime is 8045249256433. The next prime is 8045249256449. The reversal of 8045249256441 is 1446529425408.

8045249256441 is a `hidden beast` number, since 8 + 0 + 4 + 52 + 492 + 5 + 64 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (8045249256433) and next prime (8045249256449).

It is not a de Polignac number, because 8045249256441 - 2³ = 8045249256433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8045249256449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026650281 + ... + 4026652278.

It is an arithmetic number, because the mean of its divisors is an integer number (765063743200).

Almost surely, 2^{8045249256441} is an apocalyptic number.

It is an amenable number.

8045249256441 is a deficient number, since it is larger than the sum of its proper divisors (4195770634759).

8045249256441 is a wasteful number, since it uses less digits than its factorization.

8045249256441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053302605 (or 8053302599 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 8045249256441 in words is "eight trillion, forty-five billion, two hundred forty-nine million, two hundred fifty-six thousand, four hundred forty-one".