18272729102001 has 16 divisors (see below), whose sum is σ = 27226771524288. Its totient is φ = 10804274412800.

The previous prime is 18272729101997. The next prime is 18272729102027. The reversal of 18272729102001 is 10020192727281.

It is a happy number.

It is not a de Polignac number, because 18272729102001 - 2² = 18272729101997 is a prime.

It is a super-2 number, since 2×18272729102001² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (18272729102701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6752670156 + ... + 6752672861.

It is an arithmetic number, because the mean of its divisors is an integer number (1701673220268).

Almost surely, 2^{18272729102001} is an apocalyptic number.

18272729102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18272729102001 is a deficient number, since it is larger than the sum of its proper divisors (8954042422287).

18272729102001 is a wasteful number, since it uses less digits than its factorization.

18272729102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13505343072.

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 18272729102001 in words is "eighteen trillion, two hundred seventy-two billion, seven hundred twenty-nine million, one hundred two thousand, one".