18350208187272 has 192 divisors, whose sum is σ = 56691759720960. Its totient is φ = 5312024524800.

The previous prime is 18350208187249. The next prime is 18350208187279. The reversal of 18350208187272 is 27278180205381.

It is a happy number.

18350208187272 is a `hidden beast` number, since 1 + 8 + 350 + 2 + 0 + 8 + 18 + 7 + 272 = 666.

It is not an unprimeable number, because it can be changed into a prime (18350208187279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41005447 + ... + 41450537.

It is an arithmetic number, because the mean of its divisors is an integer number (295269581880).

Almost surely, 2^{18350208187272} is an apocalyptic number.

18350208187272 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 18350208187272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28345879860480).

18350208187272 is an abundant number, since it is smaller than the sum of its proper divisors (38341551533688).

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

18350208187272 is a wasteful number, since it uses less digits than its factorization.

18350208187272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447724 (or 447717 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 18350208187272 in words is "eighteen trillion, three hundred fifty billion, two hundred eight million, one hundred eighty-seven thousand, two hundred seventy-two".