10638993492009 has 9 divisors (see below), whose sum is σ = 15367449178263. Its totient is φ = 7092655804512.

The previous prime is 10638993491999. The next prime is 10638993492103. The reversal of 10638993492009 is 90029439983601.

The square root of 10638993492009 is 3261747.

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

10638993492009 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 89 + 9 + 349 + 200 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5143157229609 + 5495836262400 = 2267853^2 + 2344320^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10638993492009 - 2⁷ = 10638993491881 is a prime.

It is a super-2 number, since 2×10638993492009² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10638993492209) 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, 9241617 + ... + 10328865.

Almost surely, 2^{10638993492009} is an apocalyptic number.

10638993492009 is the 3261747-th square number.

10638993492009 is the 1630874-th centered octagonal number.

It is an amenable number.

10638993492009 is a deficient number, since it is larger than the sum of its proper divisors (4728455686254).

10638993492009 is an frugal number, since it uses more digits than its factorization.

10638993492009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174504 (or 1087252 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 10638993492009 in words is "ten trillion, six hundred thirty-eight billion, nine hundred ninety-three million, four hundred ninety-two thousand, nine".