18231400413281 has 16 divisors (see below), whose sum is σ = 20819534893056. Its totient is φ = 15813448770000.

The previous prime is 18231400413253. The next prime is 18231400413299.

It is a happy number.

18231400413281 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 18231400413281 - 2¹⁴ = 18231400396897 is a prime.

It is a super-2 number, since 2×18231400413281² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18231400413241) 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 15 ways as a sum of consecutive naturals, for example, 376486475 + ... + 376534896.

It is an arithmetic number, because the mean of its divisors is an integer number (1301220930816).

Almost surely, 2^{18231400413281} is an apocalyptic number.

18231400413281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18231400413281 is a deficient number, since it is larger than the sum of its proper divisors (2588134479775).

18231400413281 is a wasteful number, since it uses less digits than its factorization.

18231400413281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753021484.

The product of its (nonzero) digits is 36864, while the sum is 38.

It can be divided in two parts, 18231400 and 413281, that added together give a palindrome (18644681).

The spelling of 18231400413281 in words is "eighteen trillion, two hundred thirty-one billion, four hundred million, four hundred thirteen thousand, two hundred eighty-one".