18836816544 has 576 divisors, whose sum is σ = 71917574400. Its totient is φ = 4670078976.

The previous prime is 18836816539. The next prime is 18836816563. The reversal of 18836816544 is 44561863881.

18836816544 is a `hidden beast` number, since 1 + 8 + 83 + 6 + 8 + 16 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22721922 + ... + 22722750.

It is an arithmetic number, because the mean of its divisors is an integer number (124856900).

Almost surely, 2^18836816544 is an apocalyptic number.

18836816544 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 18836816544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35958787200).

18836816544 is an abundant number, since it is smaller than the sum of its proper divisors (53080757856).

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

18836816544 is a wasteful number, since it uses less digits than its factorization.

18836816544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 871 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 18836816544 in words is "eighteen billion, eight hundred thirty-six million, eight hundred sixteen thousand, five hundred forty-four".