18983528064 has 320 divisors, whose sum is σ = 61537212000. Its totient is φ = 5786339328.

The previous prime is 18983528029. The next prime is 18983528077. The reversal of 18983528064 is 46082538981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18983528064.

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 39 ways as a sum of consecutive naturals, for example, 5711107 + ... + 5714429.

Almost surely, 2^18983528064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18983528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30768606000).

18983528064 is an abundant number, since it is smaller than the sum of its proper divisors (42553683936).

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

18983528064 is a wasteful number, since it uses less digits than its factorization.

18983528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18983528064 in words is "eighteen billion, nine hundred eighty-three million, five hundred twenty-eight thousand, sixty-four".