14100933724641 has 9 divisors (see below), whose sum is σ = 20368031652241. Its totient is φ = 9400614972852.

The previous prime is 14100933724627. The next prime is 14100933724643. The reversal of 14100933724641 is 14642733900141.

It is a happy number.

The square root of 14100933724641 is 3755121.

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

14100933724641 is a `hidden beast` number, since 1 + 410 + 0 + 93 + 3 + 72 + 46 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 14100933724641 - 2²⁹ = 14100396853729 is a prime.

It is a super-3 number, since 3×14100933724641³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14100933724643) 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, 10639510 + ... + 11891216.

Almost surely, 2^{14100933724641} is an apocalyptic number.

14100933724641 is the 3755121-st square number.

14100933724641 is the 1877561-st centered octagonal number.

It is an amenable number.

14100933724641 is a deficient number, since it is larger than the sum of its proper divisors (6267097927600).

14100933724641 is an frugal number, since it uses more digits than its factorization.

14100933724641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503420 (or 1251710 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 14100933724641 in words is "fourteen trillion, one hundred billion, nine hundred thirty-three million, seven hundred twenty-four thousand, six hundred forty-one".