10645632513009 has 60 divisors (see below), whose sum is σ = 17390619828252. Its totient is φ = 6486294672000.

The previous prime is 10645632513001. The next prime is 10645632513091. The reversal of 10645632513009 is 90031523654601.

10645632513009 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 632 + 5 + 1 + 3 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 79862760000 + 10565769753009 = 282600^2 + 3250503^2 .

It is not a de Polignac number, because 10645632513009 - 2³ = 10645632513001 is a prime.

It is a super-2 number, since 2×10645632513009² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645632513001) 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 59 ways as a sum of consecutive naturals, for example, 2467302 + ... + 5232479.

Almost surely, 2^{10645632513009} is an apocalyptic number.

It is an amenable number.

10645632513009 is a deficient number, since it is larger than the sum of its proper divisors (6744987315243).

10645632513009 is a wasteful number, since it uses less digits than its factorization.

10645632513009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699920 (or 7699898 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 10645632513009 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-two million, five hundred thirteen thousand, nine".