18488283200064 has 224 divisors, whose sum is σ = 57561430256640. Its totient is φ = 5799024451584.

The previous prime is 18488283200021. The next prime is 18488283200089. The reversal of 18488283200064 is 46000238288481.

18488283200064 is a `hidden beast` number, since 1 + 8 + 488 + 2 + 83 + 20 + 0 + 0 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144848017 + ... + 144975599.

Almost surely, 2^{18488283200064} 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 18488283200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28780715128320).

18488283200064 is an abundant number, since it is smaller than the sum of its proper divisors (39073147056576).

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

18488283200064 is a wasteful number, since it uses less digits than its factorization.

18488283200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132554 (or 132538 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 18488283200064 in words is "eighteen trillion, four hundred eighty-eight billion, two hundred eighty-three million, two hundred thousand, sixty-four".