7904369183841 has 27 divisors (see below), whose sum is σ = 12363415610169. Its totient is φ = 4864159714752.

The previous prime is 7904369183819. The next prime is 7904369183881. The reversal of 7904369183841 is 1483819634097.

The square root of 7904369183841 is 2811471.

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

7904369183841 is a `hidden beast` number, since 7 + 90 + 4 + 369 + 183 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94602380625 + 7809766803216 = 307575^2 + 2794596^2 .

It is not a de Polignac number, because 7904369183841 - 2⁷ = 7904369183713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7904369183881) 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 26 ways as a sum of consecutive naturals, for example, 109611325 + ... + 109683413.

Almost surely, 2^{7904369183841} is an apocalyptic number.

7904369183841 is the 2811471-st square number.

7904369183841 is the 1405736-th centered octagonal number.

It is an amenable number.

7904369183841 is a deficient number, since it is larger than the sum of its proper divisors (4459046426328).

7904369183841 is an frugal number, since it uses more digits than its factorization.

7904369183841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144210 (or 72105 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 7904369183841 in words is "seven trillion, nine hundred four billion, three hundred sixty-nine million, one hundred eighty-three thousand, eight hundred forty-one".