18811177868672 has 576 divisors, whose sum is σ = 47403914234400. Its totient is φ = 7281202544640.

The previous prime is 18811177868629. The next prime is 18811177868683. The reversal of 18811177868672 is 27686877111881.

It is a junction number, because it is equal to n+sod(n) for n = 18811177868596 and 18811177868605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22691408354 + ... + 22691409182.

Almost surely, 2^{18811177868672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18811177868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701957117200).

18811177868672 is an abundant number, since it is smaller than the sum of its proper divisors (28592736365728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18811177868672 is an equidigital number, since it uses as much as digits as its factorization.

18811177868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 961 counting only the distinct ones).

The product of its digits is 101154816, while the sum is 71.

The spelling of 18811177868672 in words is "eighteen trillion, eight hundred eleven billion, one hundred seventy-seven million, eight hundred sixty-eight thousand, six hundred seventy-two".