13762489907089 has 27 divisors (see below), whose sum is σ = 17597504059401. Its totient is φ = 10723795522440.

The previous prime is 13762489907087. The next prime is 13762489907143. The reversal of 13762489907089 is 98070998426731.

The square root of 13762489907089 is 3709783.

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

It is not a de Polignac number, because 13762489907089 - 2¹ = 13762489907087 is a prime.

It is a super-2 number, since 2×13762489907089² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13762489907087) 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 26 ways as a sum of consecutive naturals, for example, 285629202 + ... + 285677380.

Almost surely, 2^{13762489907089} is an apocalyptic number.

13762489907089 is the 3709783-rd square number.

13762489907089 is the 1854892-nd centered octagonal number.

It is an amenable number.

13762489907089 is a deficient number, since it is larger than the sum of its proper divisors (3835014152312).

13762489907089 is an frugal number, since it uses more digits than its factorization.

13762489907089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96394 (or 48197 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 73.

The spelling of 13762489907089 in words is "thirteen trillion, seven hundred sixty-two billion, four hundred eighty-nine million, nine hundred seven thousand, eighty-nine".