18128737711728 has 960 divisors, whose sum is σ = 64942543411200. Its totient is φ = 4778171596800.

The previous prime is 18128737711723. The next prime is 18128737711751. The reversal of 18128737711728 is 82711773782181.

It is a happy number.

18128737711728 is a `hidden beast` number, since 1 + 8 + 12 + 87 + 377 + 1 + 172 + 8 = 666.

It is a super-2 number, since 2×18128737711728² (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18128737711723) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5945796348 + ... + 5945799396.

It is an arithmetic number, because the mean of its divisors is an integer number (67648482720).

Almost surely, 2^{18128737711728} is an apocalyptic number.

18128737711728 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 18128737711728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32471271705600).

18128737711728 is an abundant number, since it is smaller than the sum of its proper divisors (46813805699472).

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

18128737711728 is a wasteful number, since it uses less digits than its factorization.

18128737711728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3330 counting only the distinct ones).

The product of its digits is 14751744, while the sum is 63.

The spelling of 18128737711728 in words is "eighteen trillion, one hundred twenty-eight billion, seven hundred thirty-seven million, seven hundred eleven thousand, seven hundred twenty-eight".