17820114064 has 45 divisors (see below), whose sum is σ = 36117780979. Its totient is φ = 8516789600.

The previous prime is 17820114047. The next prime is 17820114077. The reversal of 17820114064 is 46041102871.

It is a happy number.

The square root of 17820114064 is 133492.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 12280539 + ... + 12281989.

Almost surely, 2^17820114064 is an apocalyptic number.

17820114064 is the 133492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17820114064

17820114064 is an abundant number, since it is smaller than the sum of its proper divisors (18297666915).

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

17820114064 is an frugal number, since it uses more digits than its factorization.

17820114064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 17820114064 in words is "seventeen billion, eight hundred twenty million, one hundred fourteen thousand, sixty-four".