18018219618072 has 128 divisors (see below), whose sum is σ = 50803823481600. Its totient is φ = 5915709448704.

The previous prime is 18018219618071. The next prime is 18018219618079. The reversal of 18018219618072 is 27081691281081.

18018219618072 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 8 + 2 + 19 + 618 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18018219618071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125936208 + ... + 126079200.

It is an arithmetic number, because the mean of its divisors is an integer number (396904870950).

Almost surely, 2^{18018219618072} is an apocalyptic number.

18018219618072 is a gapful number since it is divisible by the number (12) 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 18018219618072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401911740800).

18018219618072 is an abundant number, since it is smaller than the sum of its proper divisors (32785603863528).

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

18018219618072 is a wasteful number, since it uses less digits than its factorization.

18018219618072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151782 (or 151772 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 18018219618072 in words is "eighteen trillion, eighteen billion, two hundred nineteen million, six hundred eighteen thousand, seventy-two".