1038668760801 has 75 divisors (see below), whose sum is σ = 1810866087393. Its totient is φ = 593268180120.

The previous prime is 1038668760799. The next prime is 1038668760809. The reversal of 1038668760801 is 1080678668301.

The square root of 1038668760801 is 1019151.

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

It is not a de Polignac number, because 1038668760801 - 2¹ = 1038668760799 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1038668760809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 449444436 + ... + 449446746.

Almost surely, 2^{1038668760801} is an apocalyptic number.

1038668760801 is the 1019151-st square number.

1038668760801 is the 509576-th centered octagonal number.

It is an amenable number.

1038668760801 is a deficient number, since it is larger than the sum of its proper divisors (772197326592).

1038668760801 is an frugal number, since it uses more digits than its factorization.

1038668760801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1038668760801 in words is "one trillion, thirty-eight billion, six hundred sixty-eight million, seven hundred sixty thousand, eight hundred one".