18533332272 has 480 divisors, whose sum is σ = 63836771328. Its totient is φ = 4520116224.

The previous prime is 18533332271. The next prime is 18533332283. The reversal of 18533332272 is 27223333581.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (181440) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 18533332272.

It is not an unprimeable number, because it can be changed into a prime (18533332271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70468813 + ... + 70469075.

Almost surely, 2^18533332272 is an apocalyptic number.

18533332272 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 18533332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31918385664).

18533332272 is an abundant number, since it is smaller than the sum of its proper divisors (45303439056).

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

18533332272 is a wasteful number, since it uses less digits than its factorization.

18533332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The spelling of 18533332272 in words is "eighteen billion, five hundred thirty-three million, three hundred thirty-two thousand, two hundred seventy-two".