13867245015625 has 49 divisors (see below), whose sum is σ = 17911628872747. Its totient is φ = 10735931625000.

The previous prime is 13867245015623. The next prime is 13867245015641. The reversal of 13867245015625 is 52651054276831.

The square root of 13867245015625 is 3723875.

The cubic root of 13867245015625 is 24025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 12149037889209 + 1718207126416 = 3485547^2 + 1310804^2 .

It is not a de Polignac number, because 13867245015625 - 2¹ = 13867245015623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13867245015623) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 447330484360 + ... + 447330484390.

Almost surely, 2^{13867245015625} is an apocalyptic number.

13867245015625 is the 3723875-th square number.

13867245015625 is the 1861938-th centered octagonal number.

It is an amenable number.

13867245015625 is a deficient number, since it is larger than the sum of its proper divisors (4044383857122).

13867245015625 is an frugal number, since it uses more digits than its factorization.

13867245015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 13867245015625 in words is "thirteen trillion, eight hundred sixty-seven billion, two hundred forty-five million, fifteen thousand, six hundred twenty-five".