10339974029889 has 135 divisors (see below), whose sum is σ = 18411039405297. Its totient is φ = 5766286334256.

The previous prime is 10339974029863. The next prime is 10339974029897. The reversal of 10339974029889 is 98892047993301.

The square root of 10339974029889 is 3215583.

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

10339974029889 is a `hidden beast` number, since 1 + 0 + 3 + 399 + 74 + 0 + 2 + 98 + 89 = 666.

10339974029889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10339974029889 - 2⁵ = 10339974029857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10339974029899) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8711013754 + ... + 8711014940.

Almost surely, 2^{10339974029889} is an apocalyptic number.

10339974029889 is the 3215583-rd square number.

10339974029889 is the 1607792-nd centered octagonal number.

It is an amenable number.

10339974029889 is a deficient number, since it is larger than the sum of its proper divisors (8071065375408).

10339974029889 is an frugal number, since it uses more digits than its factorization.

10339974029889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 10339974029889 in words is "ten trillion, three hundred thirty-nine billion, nine hundred seventy-four million, twenty-nine thousand, eight hundred eighty-nine".