1968832728801 has 27 divisors (see below), whose sum is σ = 2923039403193. Its totient is φ = 1276979662080.

The previous prime is 1968832728787. The next prime is 1968832728803. The reversal of 1968832728801 is 1088272388691.

The square root of 1968832728801 is 1403151.

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 192146339025 + 1776686389776 = 438345^2 + 1332924^2 .

It is not a de Polignac number, because 1968832728801 - 2³¹ = 1966685245153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1968832728803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155743441 + ... + 155756081.

Almost surely, 2^{1968832728801} is an apocalyptic number.

1968832728801 is the 1403151-st square number.

1968832728801 is the 701576-th centered octagonal number.

It is an amenable number.

1968832728801 is a deficient number, since it is larger than the sum of its proper divisors (954206674392).

1968832728801 is an frugal number, since it uses more digits than its factorization.

1968832728801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25362 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 1968832728801 in words is "one trillion, nine hundred sixty-eight billion, eight hundred thirty-two million, seven hundred twenty-eight thousand, eight hundred one".