10634666258465 has 16 divisors (see below), whose sum is σ = 13251938300496. Its totient is φ = 8186525568000.

The previous prime is 10634666258449. The next prime is 10634666258483. The reversal of 10634666258465 is 56485266643601.

It can be written as a sum of positive squares in 8 ways, for example, as 501031802896 + 10133634455569 = 707836^2 + 3183337^2 .

It is not a de Polignac number, because 10634666258465 - 2⁴ = 10634666258449 is a prime.

It is a super-2 number, since 2×10634666258465² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10634666258398 and 10634666258407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355302986 + ... + 355332915.

It is an arithmetic number, because the mean of its divisors is an integer number (828246143781).

Almost surely, 2^{10634666258465} is an apocalyptic number.

It is an amenable number.

10634666258465 is a deficient number, since it is larger than the sum of its proper divisors (2617272042031).

10634666258465 is an equidigital number, since it uses as much as digits as its factorization.

10634666258465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710636020.

The product of its (nonzero) digits is 149299200, while the sum is 62.

The spelling of 10634666258465 in words is "ten trillion, six hundred thirty-four billion, six hundred sixty-six million, two hundred fifty-eight thousand, four hundred sixty-five".