184020864768 has 1080 divisors, whose sum is σ = 654336203136. Its totient is φ = 51060326400.

The previous prime is 184020864679. The next prime is 184020864779. The reversal of 184020864768 is 867468020481.

184020864768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 119 ways as a sum of consecutive naturals, for example, 3016735458 + ... + 3016735518.

Almost surely, 2^184020864768 is an apocalyptic number.

184020864768 is a gapful number since it is divisible by the number (18) 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 184020864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327168101568).

184020864768 is an abundant number, since it is smaller than the sum of its proper divisors (470315338368).

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

184020864768 is a wasteful number, since it uses less digits than its factorization.

184020864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 184020864768 in words is "one hundred eighty-four billion, twenty million, eight hundred sixty-four thousand, seven hundred sixty-eight".