10405466165 has 16 divisors (see below), whose sum is σ = 13228794288. Its totient is φ = 7830122496.

The previous prime is 10405466161. The next prime is 10405466189. The reversal of 10405466165 is 56166450401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2421328849 + 7984137316 = 49207^2 + 89354^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405466165 - 2² = 10405466161 is a prime.

It is a super-2 number, since 2×10405466165² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405466161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114089 + ... + 183921.

It is an arithmetic number, because the mean of its divisors is an integer number (826799643).

Almost surely, 2^10405466165 is an apocalyptic number.

It is an amenable number.

10405466165 is a deficient number, since it is larger than the sum of its proper divisors (2823328123).

10405466165 is a wasteful number, since it uses less digits than its factorization.

10405466165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71608.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 10405466165 in words is "ten billion, four hundred five million, four hundred sixty-six thousand, one hundred sixty-five".