18242178060288 has 1248 divisors, whose sum is σ = 66962570429440. Its totient is φ = 4288350781440.

The previous prime is 18242178060287. The next prime is 18242178060317. The reversal of 18242178060288 is 88206087124281.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (18242178060283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6140078643 + ... + 6140081613.

Almost surely, 2^{18242178060288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18242178060288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33481285214720).

18242178060288 is an abundant number, since it is smaller than the sum of its proper divisors (48720392369152).

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

18242178060288 is a wasteful number, since it uses less digits than its factorization.

18242178060288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 18242178060288 in words is "eighteen trillion, two hundred forty-two billion, one hundred seventy-eight million, sixty thousand, two hundred eighty-eight".