13869457085584 has 45 divisors (see below), whose sum is σ = 27321610681209. Its totient is φ = 6820597567680.

The previous prime is 13869457085581. The next prime is 13869457085609. The reversal of 13869457085584 is 48558075496831.

The square root of 13869457085584 is 3724172.

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

It can be written as a sum of positive squares in only one way, i.e., 451008951184 + 13418448134400 = 671572^2 + 3663120^2 .

It is a super-3 number, since 3×13869457085584³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13869457085581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 908690337 + ... + 908705599.

Almost surely, 2^{13869457085584} is an apocalyptic number.

13869457085584 is the 3724172-nd square number.

It is an amenable number.

13869457085584 is a deficient number, since it is larger than the sum of its proper divisors (13452153595625).

13869457085584 is an frugal number, since it uses more digits than its factorization.

13869457085584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30656 (or 15326 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 73.

The spelling of 13869457085584 in words is "thirteen trillion, eight hundred sixty-nine billion, four hundred fifty-seven million, eighty-five thousand, five hundred eighty-four".