13579007841 has 81 divisors (see below), whose sum is σ = 23708630673. Its totient is φ = 7467178320.

The previous prime is 13579007831. The next prime is 13579007857. The reversal of 13579007841 is 14870097531.

The square root of 13579007841 is 116529.

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

13579007841 is a `hidden beast` number, since 1 + 3 + 579 + 0 + 0 + 78 + 4 + 1 = 666.

It is not a de Polignac number, because 13579007841 - 2⁵ = 13579007809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13579007831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 75860290 + ... + 75860468.

Almost surely, 2^13579007841 is an apocalyptic number.

13579007841 is the 116529-th square number.

13579007841 is the 58265-th centered octagonal number.

It is an amenable number.

13579007841 is a deficient number, since it is larger than the sum of its proper divisors (10129622832).

13579007841 is an equidigital number, since it uses as much as digits as its factorization.

13579007841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13579007841 in words is "thirteen billion, five hundred seventy-nine million, seven thousand, eight hundred forty-one".