13880385958321 has 9 divisors (see below), whose sum is σ = 13926043881579. Its totient is φ = 13834877277936.

The previous prime is 13880385958297. The next prime is 13880385958349. The reversal of 13880385958321 is 12385958308831.

The square root of 13880385958321 is 3725639.

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., 88550880625 + 13791835077696 = 297575^2 + 3713736^2 .

It is not a de Polignac number, because 13880385958321 - 2³⁷ = 13742947004849 is a prime.

It is a super-2 number, since 2×13880385958321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13880385958381) 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, 1166119056 + ... + 1166130958.

Almost surely, 2^{13880385958321} is an apocalyptic number.

13880385958321 is the 3725639-th square number.

13880385958321 is the 1862820-th centered octagonal number.

It is an amenable number.

13880385958321 is a deficient number, since it is larger than the sum of its proper divisors (45657923258).

13880385958321 is an frugal number, since it uses more digits than its factorization.

13880385958321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24432 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 64.

Multiplying 13880385958321 by its sum of digits (64), we get a square (888344701332544 = 29805112²).

The spelling of 13880385958321 in words is "thirteen trillion, eight hundred eighty billion, three hundred eighty-five million, nine hundred fifty-eight thousand, three hundred twenty-one".