14675572618641 has 81 divisors (see below), whose sum is σ = 24137530429467. Its totient is φ = 8585441615520.

The previous prime is 14675572618621. The next prime is 14675572618643. The reversal of 14675572618641 is 14681627557641.

The square root of 14675572618641 is 3830871.

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

14675572618641 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 5 + 5 + 7 + 2 + 618 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7695514298241 + 6980058320400 = 2774079^2 + 2641980^2 .

It is not a de Polignac number, because 14675572618641 - 2²⁷ = 14675438400913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14675572618643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3666141546 + ... + 3666145548.

Almost surely, 2^{14675572618641} is an apocalyptic number.

14675572618641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14675572618641 is the 3830871-st square number.

14675572618641 is the 1915436-th centered octagonal number.

It is an amenable number.

14675572618641 is a deficient number, since it is larger than the sum of its proper divisors (9461957810826).

14675572618641 is an frugal number, since it uses more digits than its factorization.

14675572618641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 4046 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 14675572618641 in words is "fourteen trillion, six hundred seventy-five billion, five hundred seventy-two million, six hundred eighteen thousand, six hundred forty-one".