18782585196544 has 117 divisors (see below), whose sum is σ = 40679922081123. Its totient is φ = 8667221262336.

The previous prime is 18782585196503. The next prime is 18782585196547. The reversal of 18782585196544 is 44569158528781.

The square root of 18782585196544 is 4333888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1205428326400 + 17577156870144 = 1097920^2 + 4192512^2 .

It is a super-2 number, since 2×18782585196544² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18782585196547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3605792212 + ... + 3605797420.

It is an arithmetic number, because the mean of its divisors is an integer number (347691641719).

Almost surely, 2^{18782585196544} is an apocalyptic number.

18782585196544 is the 4333888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18782585196544

18782585196544 is an abundant number, since it is smaller than the sum of its proper divisors (21897336884579).

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

18782585196544 is an frugal number, since it uses more digits than its factorization.

18782585196544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 5224 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 73.

The spelling of 18782585196544 in words is "eighteen trillion, seven hundred eighty-two billion, five hundred eighty-five million, one hundred ninety-six thousand, five hundred forty-four".