1993837193089 has 15 divisors (see below), whose sum is σ = 2326085707907. Its totient is φ = 1708944002976.

The previous prime is 1993837193071. The next prime is 1993837193197. The reversal of 1993837193089 is 9803917383991.

The square root of 1993837193089 is 1412033.

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., 1923616433025 + 70220760064 = 1386945^2 + 264992^2 .

It is not a de Polignac number, because 1993837193089 - 2⁵ = 1993837193057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1993837293089) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 69175209 + ... + 69204025.

Almost surely, 2^{1993837193089} is an apocalyptic number.

1993837193089 is the 1412033-rd square number.

1993837193089 is the 706017-th centered octagonal number.

It is an amenable number.

1993837193089 is a deficient number, since it is larger than the sum of its proper divisors (332248514818).

1993837193089 is an frugal number, since it uses more digits than its factorization.

1993837193089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57662 (or 28824 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 70.

The spelling of 1993837193089 in words is "one trillion, nine hundred ninety-three billion, eight hundred thirty-seven million, one hundred ninety-three thousand, eighty-nine".