14154517538001 has 27 divisors (see below), whose sum is σ = 20485189393851. Its totient is φ = 9418022872704.

The previous prime is 14154517537991. The next prime is 14154517538039. The reversal of 14154517538001 is 10083571545141.

The square root of 14154517538001 is 3762249.

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

14154517538001 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 4 + 517 + 53 + 80 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13625732603025 + 528784934976 = 3691305^2 + 727176^2 .

It is not a de Polignac number, because 14154517538001 - 2¹³ = 14154517529809 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14154517538501) 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, 8340905185 + ... + 8340906881.

Almost surely, 2^{14154517538001} is an apocalyptic number.

14154517538001 is the 3762249-th square number.

14154517538001 is the 1881125-th centered octagonal number.

It is an amenable number.

14154517538001 is a deficient number, since it is larger than the sum of its proper divisors (6330671855850).

14154517538001 is an frugal number, since it uses more digits than its factorization.

14154517538001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 14154517538001 in words is "fourteen trillion, one hundred fifty-four billion, five hundred seventeen million, five hundred thirty-eight thousand, one".