11981989173001 has 9 divisors (see below), whose sum is σ = 12002061332181. Its totient is φ = 11961950543712.

The previous prime is 11981989172947. The next prime is 11981989173019. The reversal of 11981989173001 is 10037198918911.

The square root of 11981989173001 is 3461501.

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

11981989173001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5821537401 + 11976167635600 = 76299^2 + 3460660^2 .

It is not a de Polignac number, because 11981989173001 - 2¹³ = 11981989164809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11981989173901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2343433621 + ... + 2343438733.

Almost surely, 2^{11981989173001} is an apocalyptic number.

11981989173001 is the 3461501-st square number.

11981989173001 is the 1730751-st centered octagonal number.

It is an amenable number.

11981989173001 is a deficient number, since it is larger than the sum of its proper divisors (20072159180).

11981989173001 is an frugal number, since it uses more digits than its factorization.

11981989173001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 58.

The spelling of 11981989173001 in words is "eleven trillion, nine hundred eighty-one billion, nine hundred eighty-nine million, one hundred seventy-three thousand, one".