18440686080 has 720 divisors, whose sum is σ = 71484252840. Its totient is φ = 4377280512.

The previous prime is 18440686079. The next prime is 18440686087. The reversal of 18440686080 is 8068604481.

18440686080 is a `hidden beast` number, since 18 + 440 + 68 + 60 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14480752896 + 3959933184 = 120336^2 + 62928^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×18440686080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18440686087) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 207198676 + ... + 207198764.

Almost surely, 2^18440686080 is an apocalyptic number.

18440686080 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 18440686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35742126420).

18440686080 is an abundant number, since it is smaller than the sum of its proper divisors (53043566760).

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

18440686080 is a wasteful number, since it uses less digits than its factorization.

18440686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 18440686080 in words is "eighteen billion, four hundred forty million, six hundred eighty-six thousand, eighty".