14101813838057 has 24 divisors (see below), whose sum is σ = 15984965190600. Its totient is φ = 12423210694400.

The previous prime is 14101813838017. The next prime is 14101813838059. The reversal of 14101813838057 is 75083831810141.

14101813838057 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 978445418896 + 13123368419161 = 989164^2 + 3622619^2 .

It is a de Polignac number, because none of the positive numbers 2^k-14101813838057 is a prime.

It is a super-2 number, since 2×14101813838057² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14101813837996 and 14101813838014.

It is not an unprimeable number, because it can be changed into a prime (14101813838059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799518 + ... + 10277895.

It is an arithmetic number, because the mean of its divisors is an integer number (666040216275).

Almost surely, 2^{14101813838057} is an apocalyptic number.

It is an amenable number.

14101813838057 is a deficient number, since it is larger than the sum of its proper divisors (1883151352543).

14101813838057 is a wasteful number, since it uses less digits than its factorization.

14101813838057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19077625 (or 19077614 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 14101813838057 in words is "fourteen trillion, one hundred one billion, eight hundred thirteen million, eight hundred thirty-eight thousand, fifty-seven".