10665506948993 has 8 divisors (see below), whose sum is σ = 11674224504936. Its totient is φ = 9683688528000.

The previous prime is 10665506948977. The next prime is 10665506949011. The reversal of 10665506948993 is 39984960556601.

It can be written as a sum of positive squares in 4 ways, for example, as 414643269184 + 10250863679809 = 643928^2 + 3201697^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10665506948993 - 2⁴ = 10665506948977 is a prime.

It is a super-2 number, since 2×10665506948993² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10665506918993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6724782908 + ... + 6724784493.

It is an arithmetic number, because the mean of its divisors is an integer number (1459278063117).

Almost surely, 2^{10665506948993} is an apocalyptic number.

10665506948993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10665506948993 is a deficient number, since it is larger than the sum of its proper divisors (1008717555943).

10665506948993 is a wasteful number, since it uses less digits than its factorization.

10665506948993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449567475.

The product of its (nonzero) digits is 377913600, while the sum is 71.

The spelling of 10665506948993 in words is "ten trillion, six hundred sixty-five billion, five hundred six million, nine hundred forty-eight thousand, nine hundred ninety-three".