18019164960 has 384 divisors, whose sum is σ = 67419475200. Its totient is φ = 4478976000.

The previous prime is 18019164937. The next prime is 18019165013. The reversal of 18019164960 is 6946191081.

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

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, 8003835 + ... + 8006085.

It is an arithmetic number, because the mean of its divisors is an integer number (175571550).

Almost surely, 2^18019164960 is an apocalyptic number.

18019164960 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 18019164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33709737600).

18019164960 is an abundant number, since it is smaller than the sum of its proper divisors (49400310240).

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

18019164960 is a wasteful number, since it uses less digits than its factorization.

18019164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 18019164960 in words is "eighteen billion, nineteen million, one hundred sixty-four thousand, nine hundred sixty".