18005514240 has 768 divisors, whose sum is σ = 70749020160. Its totient is φ = 3822059520.

The previous prime is 18005514239. The next prime is 18005514251. The reversal of 18005514240 is 4241550081.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18005514198 and 18005514207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246650844 + ... + 246650916.

It is an arithmetic number, because the mean of its divisors is an integer number (92121120).

Almost surely, 2^18005514240 is an apocalyptic number.

18005514240 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 18005514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374510080).

18005514240 is an abundant number, since it is smaller than the sum of its proper divisors (52743505920).

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

18005514240 is a wasteful number, since it uses less digits than its factorization.

18005514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 18005514240 in words is "eighteen billion, five million, five hundred fourteen thousand, two hundred forty".