18018721644000 has 768 divisors, whose sum is σ = 73637592956928. Its totient is φ = 3741984000000.

The previous prime is 18018721643999. The next prime is 18018721644031. The reversal of 18018721644000 is 44612781081.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1969039425 + ... + 1969048575.

It is an arithmetic number, because the mean of its divisors is an integer number (95882282496).

Almost surely, 2^{18018721644000} is an apocalyptic number.

18018721644000 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 18018721644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36818796478464).

18018721644000 is an abundant number, since it is smaller than the sum of its proper divisors (55618871312928).

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

18018721644000 is a wasteful number, since it uses less digits than its factorization.

18018721644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 18018721644000 in words is "eighteen trillion, eighteen billion, seven hundred twenty-one million, six hundred forty-four thousand".