10465309110169 has 27 divisors (see below), whose sum is σ = 10735430875767. Its totient is φ = 10201936996800.

The previous prime is 10465309110127. The next prime is 10465309110187. The reversal of 10465309110169 is 96101190356401.

The square root of 10465309110169 is 3235013.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10436744054025 + 28565056144 = 3230595^2 + 169012^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10465309110169 is a prime.

It is a super-2 number, since 2×10465309110169² (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 (10465309116169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35717778387 + ... + 35717778679.

Almost surely, 2^{10465309110169} is an apocalyptic number.

10465309110169 is the 3235013-rd square number.

10465309110169 is the 1617507-th centered octagonal number.

It is an amenable number.

10465309110169 is a deficient number, since it is larger than the sum of its proper divisors (270121765598).

10465309110169 is an frugal number, since it uses more digits than its factorization.

10465309110169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 10465309110169 in words is "ten trillion, four hundred sixty-five billion, three hundred nine million, one hundred ten thousand, one hundred sixty-nine".