18095291144320 has 512 divisors, whose sum is σ = 48470357698560. Its totient is φ = 6417034444800.

The previous prime is 18095291144279. The next prime is 18095291144327. The reversal of 18095291144320 is 2344119259081.

It is not an unprimeable number, because it can be changed into a prime (18095291144327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17723105410 + ... + 17723106430.

It is an arithmetic number, because the mean of its divisors is an integer number (94668667380).

Almost surely, 2^{18095291144320} is an apocalyptic number.

18095291144320 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 18095291144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235178849280).

18095291144320 is an abundant number, since it is smaller than the sum of its proper divisors (30375066554240).

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

18095291144320 is a wasteful number, since it uses less digits than its factorization.

18095291144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 18095291144320 in words is "eighteen trillion, ninety-five billion, two hundred ninety-one million, one hundred forty-four thousand, three hundred twenty".