14138359530201 has 81 divisors (see below), whose sum is σ = 21588176005149. Its totient is φ = 9258872702400.

The previous prime is 14138359530193. The next prime is 14138359530209. The reversal of 14138359530201 is 10203595383141.

The square root of 14138359530201 is 3760101.

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

14138359530201 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 8 + 3 + 595 + 30 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (14138359530193) and next prime (14138359530209).

It can be written as a sum of positive squares in 4 ways, for example, as 13387190640201 + 751168890000 = 3658851^2 + 866700^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 14138359530201 - 2³ = 14138359530193 is a prime.

It is a super-2 number, since 2×14138359530201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14138359530209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18578658661 + ... + 18578659421.

Almost surely, 2^{14138359530201} is an apocalyptic number.

14138359530201 is the 3760101-st square number.

14138359530201 is the 1880051-st centered octagonal number.

It is an amenable number.

14138359530201 is a deficient number, since it is larger than the sum of its proper divisors (7449816474948).

14138359530201 is an frugal number, since it uses more digits than its factorization.

14138359530201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 14138359530201 in words is "fourteen trillion, one hundred thirty-eight billion, three hundred fifty-nine million, five hundred thirty thousand, two hundred one".