18309506688 has 384 divisors, whose sum is σ = 59961507840. Its totient is φ = 5312563200.

The previous prime is 18309506687. The next prime is 18309506689. The reversal of 18309506688 is 88660590381.

It is an interprime number because it is at equal distance from previous prime (18309506687) and next prime (18309506689).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (18309506687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49889481 + ... + 49889847.

It is an arithmetic number, because the mean of its divisors is an integer number (156149760).

Almost surely, 2^18309506688 is an apocalyptic number.

18309506688 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 18309506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29980753920).

18309506688 is an abundant number, since it is smaller than the sum of its proper divisors (41652001152).

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

18309506688 is a wasteful number, since it uses less digits than its factorization.

18309506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18309506688 in words is "eighteen billion, three hundred nine million, five hundred six thousand, six hundred eighty-eight".