17918959104 has 320 divisors, whose sum is σ = 55586710080. Its totient is φ = 5693276160.

The previous prime is 17918959099. The next prime is 17918959127. The reversal of 17918959104 is 40195981971.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27108534 + ... + 27109194.

It is an arithmetic number, because the mean of its divisors is an integer number (173708469).

Almost surely, 2^17918959104 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 17918959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27793355040).

17918959104 is an abundant number, since it is smaller than the sum of its proper divisors (37667750976).

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

17918959104 is an equidigital number, since it uses as much as digits as its factorization.

17918959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 17918959104 in words is "seventeen billion, nine hundred eighteen million, nine hundred fifty-nine thousand, one hundred four".