18097777779081 has 64 divisors (see below), whose sum is σ = 32842638796800. Its totient is φ = 8559374768640.

The previous prime is 18097777779079. The next prime is 18097777779119.

18097777779081 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18097777779081 - 2¹ = 18097777779079 is a prime.

It is a super-2 number, since 2×18097777779081² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18097777778988 and 18097777779006.

It is not an unprimeable number, because it can be changed into a prime (18097777779881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41058631 + ... + 41497068.

It is an arithmetic number, because the mean of its divisors is an integer number (513166231200).

Almost surely, 2^{18097777779081} is an apocalyptic number.

18097777779081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18097777779081 is a deficient number, since it is larger than the sum of its proper divisors (14744861017719).

18097777779081 is a wasteful number, since it uses less digits than its factorization.

18097777779081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82555806.

The product of its (nonzero) digits is 609892416, while the sum is 78.

The spelling of 18097777779081 in words is "eighteen trillion, ninety-seven billion, seven hundred seventy-seven million, seven hundred seventy-nine thousand, eighty-one".