1671942097296 has 135 divisors (see below), whose sum is σ = 4708172017731. Its totient is φ = 553874556672.

The previous prime is 1671942097283. The next prime is 1671942097297. The reversal of 1671942097296 is 6927902491761.

The square root of 1671942097296 is 1293036.

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 588810675600 + 1083131421696 = 767340^2 + 1040736^2 .

It is not an unprimeable number, because it can be changed into a prime (1671942097297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4298051470 + ... + 4298051858.

Almost surely, 2^{1671942097296} is an apocalyptic number.

1671942097296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1671942097296 is the 1293036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1671942097296

1671942097296 is an abundant number, since it is smaller than the sum of its proper divisors (3036229920435).

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

1671942097296 is an frugal number, since it uses more digits than its factorization.

1671942097296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 1671942097296 in words is "one trillion, six hundred seventy-one billion, nine hundred forty-two million, ninety-seven thousand, two hundred ninety-six".