18144013680 has 480 divisors, whose sum is σ = 68947587072. Its totient is φ = 4242585600.

The previous prime is 18144013663. The next prime is 18144013711. The reversal of 18144013680 is 8631044181.

It is a happy number.

18144013680 is a `hidden beast` number, since 1 + 8 + 1 + 440 + 136 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58340725 + ... + 58341035.

Almost surely, 2^18144013680 is an apocalyptic number.

18144013680 is a gapful number since it is divisible by the number (10) 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 18144013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473793536).

18144013680 is an abundant number, since it is smaller than the sum of its proper divisors (50803573392).

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

18144013680 is a wasteful number, since it uses less digits than its factorization.

18144013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18144013680 in words is "eighteen billion, one hundred forty-four million, thirteen thousand, six hundred eighty".