18712427328 has 336 divisors, whose sum is σ = 66066009600. Its totient is φ = 5173217280.

The previous prime is 18712427317. The next prime is 18712427341. The reversal of 18712427328 is 82372421781.

18712427328 is a `hidden beast` number, since 1 + 87 + 1 + 242 + 7 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2621268 + ... + 2628396.

Almost surely, 2^18712427328 is an apocalyptic number.

18712427328 is a gapful number since it is divisible by the number (18) 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 18712427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033004800).

18712427328 is an abundant number, since it is smaller than the sum of its proper divisors (47353582272).

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

18712427328 is a wasteful number, since it uses less digits than its factorization.

18712427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7172 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

It can be divided in two parts, 18712 and 427328, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 18712427328 in words is "eighteen billion, seven hundred twelve million, four hundred twenty-seven thousand, three hundred twenty-eight".