8001944182251 has 12 divisors (see below), whose sum is σ = 11558394474328. Its totient is φ = 5334615306144.

The previous prime is 8001944182231. The next prime is 8001944182313. The reversal of 8001944182251 is 1522814491008.

8001944182251 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 9 + 4 + 418 + 225 + 1 = 666.

It is not a de Polignac number, because 8001944182251 - 2²² = 8001939987947 is a prime.

It is a super-2 number, since 2×8001944182251² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8001944182197 and 8001944182206.

It is not an unprimeable number, because it can be changed into a prime (8001944182231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3297276 + ... + 5184198.

Almost surely, 2^{8001944182251} is an apocalyptic number.

8001944182251 is a deficient number, since it is larger than the sum of its proper divisors (3556450292077).

8001944182251 is a wasteful number, since it uses less digits than its factorization.

8001944182251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358122 (or 2358119 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 8001944182251 in words is "eight trillion, one billion, nine hundred forty-four million, one hundred eighty-two thousand, two hundred fifty-one".