13950351990289 has 27 divisors (see below), whose sum is σ = 16604754131259. Its totient is φ = 11706140880720.

The previous prime is 13950351990269. The next prime is 13950351990317. The reversal of 13950351990289 is 98209915305931.

The square root of 13950351990289 is 3735017.

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., 2063661537025 + 11886690453264 = 1436545^2 + 3447708^2 .

It is not a de Polignac number, because 13950351990289 - 2²³ = 13950343601681 is a prime.

It is a super-2 number, since 2×13950351990289² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13950351990289.

It is not an unprimeable number, because it can be changed into a prime (13950351990269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 534094372 + ... + 534120490.

Almost surely, 2^{13950351990289} is an apocalyptic number.

13950351990289 is the 3735017-th square number.

13950351990289 is the 1867509-th centered octagonal number.

It is an amenable number.

13950351990289 is a deficient number, since it is larger than the sum of its proper divisors (2654402140970).

13950351990289 is an frugal number, since it uses more digits than its factorization.

13950351990289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52286 (or 26143 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 64.

Multiplying 13950351990289 by its sum of digits (64), we get a square (892822527378496 = 29880136²).

The spelling of 13950351990289 in words is "thirteen trillion, nine hundred fifty billion, three hundred fifty-one million, nine hundred ninety thousand, two hundred eighty-nine".