14985921889 has 27 divisors (see below), whose sum is σ = 16845704307. Its totient is φ = 13326804288.

The previous prime is 14985921869. The next prime is 14985921901. The reversal of 14985921889 is 98812958941.

The square root of 14985921889 is 122417.

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., 11667240225 + 3318681664 = 108015^2 + 57608^2 .

It is not a de Polignac number, because 14985921889 - 2¹¹ = 14985919841 is a prime.

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 14985921889.

It is not an unprimeable number, because it can be changed into a prime (14985921809) 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, 39540502 + ... + 39540880.

Almost surely, 2^14985921889 is an apocalyptic number.

14985921889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14985921889 is the 122417-th square number.

14985921889 is the 61209-th centered octagonal number.

It is an amenable number.

14985921889 is a deficient number, since it is larger than the sum of its proper divisors (1859782418).

14985921889 is an frugal number, since it uses more digits than its factorization.

14985921889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 64.

Multiplying 14985921889 by its sum of digits (64), we get a square (959099000896 = 979336²).

The spelling of 14985921889 in words is "fourteen billion, nine hundred eighty-five million, nine hundred twenty-one thousand, eight hundred eighty-nine".