14729084946801 has 27 divisors (see below), whose sum is σ = 22240977829707. Its totient is φ = 9392291100720.

The previous prime is 14729084946757. The next prime is 14729084946811. The reversal of 14729084946801 is 10864948092741.

The square root of 14729084946801 is 3837849.

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

14729084946801 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 90 + 84 + 9 + 468 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 876843087201 + 13852241859600 = 936399^2 + 3721860^2 .

It is not a de Polignac number, because 14729084946801 - 2¹⁹ = 14729084422513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14729084946811) 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, 264783771 + ... + 264839391.

Almost surely, 2^{14729084946801} is an apocalyptic number.

14729084946801 is the 3837849-th square number.

14729084946801 is the 1918925-th centered octagonal number.

It is an amenable number.

14729084946801 is a deficient number, since it is larger than the sum of its proper divisors (7511892882906).

14729084946801 is an frugal number, since it uses more digits than its factorization.

14729084946801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111294 (or 55647 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 14729084946801 in words is "fourteen trillion, seven hundred twenty-nine billion, eighty-four million, nine hundred forty-six thousand, eight hundred one".