17384949904 has 135 divisors (see below), whose sum is σ = 41773910283. Its totient is φ = 6987101184.

The previous prime is 17384949893. The next prime is 17384949913. The reversal of 17384949904 is 40994948371.

The square root of 17384949904 is 131852.

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 66389904 + 17318560000 = 8148^2 + 131600^2 .

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 26 ways as a sum of consecutive naturals, for example, 62761414 + ... + 62761690.

Almost surely, 2^17384949904 is an apocalyptic number.

17384949904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

17384949904 is the 131852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17384949904

17384949904 is an abundant number, since it is smaller than the sum of its proper divisors (24388960379).

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

17384949904 is an equidigital number, since it uses as much as digits as its factorization.

17384949904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 17384949904 in words is "seventeen billion, three hundred eighty-four million, nine hundred forty-nine thousand, nine hundred four".