18086446560 has 1152 divisors, whose sum is σ = 78456397824. Its totient is φ = 3404021760.

The previous prime is 18086446513. The next prime is 18086446583. The reversal of 18086446560 is 6564468081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 488822862 + ... + 488822898.

It is an arithmetic number, because the mean of its divisors is an integer number (68104512).

Almost surely, 2^18086446560 is an apocalyptic number.

18086446560 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 18086446560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39228198912).

18086446560 is an abundant number, since it is smaller than the sum of its proper divisors (60369951264).

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

18086446560 is a wasteful number, since it uses less digits than its factorization.

18086446560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 18086446560 in words is "eighteen billion, eighty-six million, four hundred forty-six thousand, five hundred sixty".