13983837813009 has 9 divisors (see below), whose sum is σ = 20198893045513. Its totient is φ = 9322551063012.

The previous prime is 13983837812953. The next prime is 13983837813059. The reversal of 13983837813009 is 90031873838931.

The square root of 13983837813009 is 3739497.

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

13983837813009 is a `hidden beast` number, since 13 + 98 + 38 + 378 + 130 + 0 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13983837813009 - 2³⁵ = 13949478074641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13983837813059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10595242 + ... + 11841740.

Almost surely, 2^{13983837813009} is an apocalyptic number.

13983837813009 is the 3739497-th square number.

13983837813009 is the 1869749-th centered octagonal number.

It is an amenable number.

13983837813009 is a deficient number, since it is larger than the sum of its proper divisors (6215055232504).

13983837813009 is an frugal number, since it uses more digits than its factorization.

13983837813009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493004 (or 1246502 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 13983837813009 in words is "thirteen trillion, nine hundred eighty-three billion, eight hundred thirty-seven million, eight hundred thirteen thousand, nine".