18346009699872 has 576 divisors, whose sum is σ = 59450311065600. Its totient is φ = 5543471831040.

The previous prime is 18346009699837. The next prime is 18346009699921. The reversal of 18346009699872 is 27899690064381.

18346009699872 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 600 + 9 + 6 + 9 + 9 + 8 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18346009699872.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 407603193 + ... + 407648199.

It is an arithmetic number, because the mean of its divisors is an integer number (103212345600).

Almost surely, 2^{18346009699872} is an apocalyptic number.

18346009699872 is a gapful number since it is divisible by the number (12) 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 18346009699872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29725155532800).

18346009699872 is an abundant number, since it is smaller than the sum of its proper divisors (41104301365728).

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

18346009699872 is a wasteful number, since it uses less digits than its factorization.

18346009699872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45171 (or 45151 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 18346009699872 in words is "eighteen trillion, three hundred forty-six billion, nine million, six hundred ninety-nine thousand, eight hundred seventy-two".