13814329221 has 128 divisors (see below), whose sum is σ = 27013939200. Its totient is φ = 6759288000.

The previous prime is 13814329187. The next prime is 13814329223. The reversal of 13814329221 is 12292341831.

13814329221 is a `hidden beast` number, since 138 + 1 + 432 + 92 + 2 + 1 = 666.

It is not a de Polignac number, because 13814329221 - 2⁹ = 13814328709 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814329223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7543776 + ... + 7545606.

It is an arithmetic number, because the mean of its divisors is an integer number (211046400).

Almost surely, 2^13814329221 is an apocalyptic number.

13814329221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13814329221 is a deficient number, since it is larger than the sum of its proper divisors (13199609979).

13814329221 is a wasteful number, since it uses less digits than its factorization.

13814329221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2062 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 13814329221 in words is "thirteen billion, eight hundred fourteen million, three hundred twenty-nine thousand, two hundred twenty-one".