14879156737201 has 9 divisors (see below), whose sum is σ = 15805955882091. Its totient is φ = 14003850505632.

The previous prime is 14879156737187. The next prime is 14879156737213. The reversal of 14879156737201 is 10273765197841.

The square root of 14879156737201 is 3857351.

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., 11584118567025 + 3295038170176 = 3403545^2 + 1815224^2 .

It is not a de Polignac number, because 14879156737201 - 2²³ = 14879148348593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14879156737201.

It is not an unprimeable number, because it can be changed into a prime (14879156737241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65461516 + ... + 65688418.

It is a 1-persistent number, because it is pandigital, but 2⋅14879156737201 = 29758313474402 is not.

Almost surely, 2^{14879156737201} is an apocalyptic number.

14879156737201 is the 3857351-st square number.

14879156737201 is the 1928676-th centered octagonal number.

It is an amenable number.

14879156737201 is a deficient number, since it is larger than the sum of its proper divisors (926799144890).

14879156737201 is an frugal number, since it uses more digits than its factorization.

14879156737201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453840 (or 226920 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 14879156737201 in words is "fourteen trillion, eight hundred seventy-nine billion, one hundred fifty-six million, seven hundred thirty-seven thousand, two hundred one".