18002238567768 has 384 divisors, whose sum is σ = 62683530739200. Its totient is φ = 4744934546688.

The previous prime is 18002238567667. The next prime is 18002238567769. The reversal of 18002238567768 is 86776583220081.

18002238567768 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 2 + 2 + 3 + 8 + 567 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18002238567769) 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, 229326621 + ... + 229405107.

It is an arithmetic number, because the mean of its divisors is an integer number (163238361300).

Almost surely, 2^{18002238567768} is an apocalyptic number.

18002238567768 is a gapful number since it is divisible by the number (18) 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 18002238567768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31341765369600).

18002238567768 is an abundant number, since it is smaller than the sum of its proper divisors (44681292171432).

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

18002238567768 is a wasteful number, since it uses less digits than its factorization.

18002238567768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80196 (or 80179 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 18002238567768 in words is "eighteen trillion, two billion, two hundred thirty-eight million, five hundred sixty-seven thousand, seven hundred sixty-eight".