1682504728996 has 81 divisors (see below), whose sum is σ = 3709355382369. Its totient is φ = 665512874208.

The previous prime is 1682504728991. The next prime is 1682504728999. The reversal of 1682504728996 is 6998274052861.

The square root of 1682504728996 is 1297114.

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., 248891232100 + 1433613496896 = 498890^2 + 1197336^2 .

It is not an unprimeable number, because it can be changed into a prime (1682504728991) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 236071185 + ... + 236078311.

Almost surely, 2^{1682504728996} is an apocalyptic number.

1682504728996 is the 1297114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682504728996

1682504728996 is an abundant number, since it is smaller than the sum of its proper divisors (2026850653373).

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

1682504728996 is an frugal number, since it uses more digits than its factorization.

1682504728996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 1682504728996 in words is "one trillion, six hundred eighty-two billion, five hundred four million, seven hundred twenty-eight thousand, nine hundred ninety-six".