18789614064 has 400 divisors, whose sum is σ = 62512665600. Its totient is φ = 5400525312.

The previous prime is 18789614047. The next prime is 18789614131. The reversal of 18789614064 is 46041698781.

18789614064 is a `hidden beast` number, since 18 + 7 + 8 + 9 + 614 + 0 + 6 + 4 = 666.

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 18789614064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25288477 + ... + 25289219.

It is an arithmetic number, because the mean of its divisors is an integer number (156281664).

Almost surely, 2^18789614064 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 18789614064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256332800).

18789614064 is an abundant number, since it is smaller than the sum of its proper divisors (43723051536).

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

18789614064 is a wasteful number, since it uses less digits than its factorization.

18789614064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18789614064 in words is "eighteen billion, seven hundred eighty-nine million, six hundred fourteen thousand, sixty-four".