18381468672 has 528 divisors, whose sum is σ = 64305800832. Its totient is φ = 5135892480.

The previous prime is 18381468659. The next prime is 18381468673. The reversal of 18381468672 is 27686418381.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (18381468673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106251178 + ... + 106251350.

Almost surely, 2^18381468672 is an apocalyptic number.

18381468672 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 18381468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32152900416).

18381468672 is an abundant number, since it is smaller than the sum of its proper divisors (45924332160).

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

18381468672 is an equidigital number, since it uses as much as digits as its factorization.

18381468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 18381468672 in words is "eighteen billion, three hundred eighty-one million, four hundred sixty-eight thousand, six hundred seventy-two".