18138669335584 has 768 divisors, whose sum is σ = 48274071552000. Its totient is φ = 6657251328000.

The previous prime is 18138669335581. The next prime is 18138669335617. The reversal of 18138669335584 is 48553396683181.

It is a happy number.

It is a super-2 number, since 2×18138669335584² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18138669335581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16595305342 + ... + 16595306434.

It is an arithmetic number, because the mean of its divisors is an integer number (62856864000).

Almost surely, 2^{18138669335584} is an apocalyptic number.

18138669335584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18138669335584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137035776000).

18138669335584 is an abundant number, since it is smaller than the sum of its proper divisors (30135402216416).

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

18138669335584 is a wasteful number, since it uses less digits than its factorization.

18138669335584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1320 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 70.

The spelling of 18138669335584 in words is "eighteen trillion, one hundred thirty-eight billion, six hundred sixty-nine million, three hundred thirty-five thousand, five hundred eighty-four".