18368759808 has 576 divisors, whose sum is σ = 65415168000. Its totient is φ = 4849238016.

The previous prime is 18368759741. The next prime is 18368759837. The reversal of 18368759808 is 80895786381.

18368759808 is a `hidden beast` number, since 1 + 8 + 36 + 8 + 7 + 598 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×18368759808² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144635841 + ... + 144635967.

It is an arithmetic number, because the mean of its divisors is an integer number (113568000).

Almost surely, 2^18368759808 is an apocalyptic number.

18368759808 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 18368759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584000).

18368759808 is an abundant number, since it is smaller than the sum of its proper divisors (47046408192).

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

18368759808 is a wasteful number, since it uses less digits than its factorization.

18368759808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 18368759808 in words is "eighteen billion, three hundred sixty-eight million, seven hundred fifty-nine thousand, eight hundred eight".