17142664900 has 27 divisors (see below), whose sum is σ = 37202424231. Its totient is φ = 6856542240.

The previous prime is 17142664853. The next prime is 17142664927. The reversal of 17142664900 is 946624171.

The square root of 17142664900 is 130930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1774599876 + 15368065024 = 42126^2 + 123968^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1302754 + ... + 1315846.

Almost surely, 2^17142664900 is an apocalyptic number.

17142664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17142664900 is the 130930-th square number.

It is an amenable number.

17142664900 is an abundant number, since it is smaller than the sum of its proper divisors (20059759331).

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

17142664900 is an frugal number, since it uses more digits than its factorization.

17142664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 17142664900 in words is "seventeen billion, one hundred forty-two million, six hundred sixty-four thousand, nine hundred".