14641963101 has 24 divisors (see below), whose sum is σ = 21500988600. Its totient is φ = 9599855616.

The previous prime is 14641963057. The next prime is 14641963117. The reversal of 14641963101 is 10136914641.

14641963101 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 19 + 631 + 0 + 1 = 666.

14641963101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5160267225 + 9481695876 = 71835^2 + 97374^2 .

It is not a de Polignac number, because 14641963101 - 2¹⁹ = 14641438813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14641963151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197365 + ... + 261221.

It is an arithmetic number, because the mean of its divisors is an integer number (895874525).

Almost surely, 2^14641963101 is an apocalyptic number.

It is an amenable number.

14641963101 is a deficient number, since it is larger than the sum of its proper divisors (6859025499).

14641963101 is a wasteful number, since it uses less digits than its factorization.

14641963101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64285 (or 64282 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14641963101 in words is "fourteen billion, six hundred forty-one million, nine hundred sixty-three thousand, one hundred one".