18645182768340 has 288 divisors, whose sum is σ = 60374940837120. Its totient is φ = 4643860543488.

The previous prime is 18645182768297. The next prime is 18645182768357. The reversal of 18645182768340 is 4386728154681.

18645182768340 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 5 + 18 + 276 + 8 + 340 = 666.

It is a super-2 number, since 2×18645182768340² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638366017 + ... + 638395223.

It is an arithmetic number, because the mean of its divisors is an integer number (209635211240).

Almost surely, 2^{18645182768340} is an apocalyptic number.

18645182768340 is a gapful number since it is divisible by the number (10) 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 18645182768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30187470418560).

18645182768340 is an abundant number, since it is smaller than the sum of its proper divisors (41729758068780).

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

18645182768340 is a wasteful number, since it uses less digits than its factorization.

18645182768340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31871 (or 31866 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 18645182768340 in words is "eighteen trillion, six hundred forty-five billion, one hundred eighty-two million, seven hundred sixty-eight thousand, three hundred forty".