1704319806016 has 63 divisors (see below), whose sum is σ = 3448144998921. Its totient is φ = 835809871104.

The previous prime is 1704319805989. The next prime is 1704319806019. The reversal of 1704319806016 is 6106089134071.

The square root of 1704319806016 is 1305496.

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

It can be written as a sum of positive squares in only one way, i.e., 1228639233600 + 475680572416 = 1108440^2 + 689696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1704319806019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 553528765 + ... + 553531843.

Almost surely, 2^{1704319806016} is an apocalyptic number.

1704319806016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1704319806016 is the 1305496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1704319806016

1704319806016 is an abundant number, since it is smaller than the sum of its proper divisors (1743825192905).

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

1704319806016 is an frugal number, since it uses more digits than its factorization.

1704319806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 1704319806016 in words is "one trillion, seven hundred four billion, three hundred nineteen million, eight hundred six thousand, sixteen".