10749040971165 has 72 divisors (see below), whose sum is σ = 21708706588920. Its totient is φ = 4905882584064.

The previous prime is 10749040971157. The next prime is 10749040971169. The reversal of 10749040971165 is 56117904094701.

It is a happy number.

10749040971165 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 9 + 0 + 409 + 71 + 165 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 887041865241 + 9861999105924 = 941829^2 + 3140382^2 .

It is not a de Polignac number, because 10749040971165 - 2³ = 10749040971157 is a prime.

It is a super-2 number, since 2×10749040971165² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749040971169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2589960 + ... + 5310929.

It is an arithmetic number, because the mean of its divisors is an integer number (301509813735).

Almost surely, 2^{10749040971165} is an apocalyptic number.

10749040971165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10749040971165 is an abundant number, since it is smaller than the sum of its proper divisors (10959665617755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10749040971165 is a wasteful number, since it uses less digits than its factorization.

10749040971165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901531 (or 7901521 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10749040971165 in words is "ten trillion, seven hundred forty-nine billion, forty million, nine hundred seventy-one thousand, one hundred sixty-five".