10332661617 has 64 divisors (see below), whose sum is σ = 16033489920. Its totient is φ = 6571152000.

The previous prime is 10332661607. The next prime is 10332661621. The reversal of 10332661617 is 71616623301.

10332661617 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 26 + 616 + 17 = 666.

It is not a de Polignac number, because 10332661617 - 2¹⁰ = 10332660593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10332661607) 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 63 ways as a sum of consecutive naturals, for example, 9830742 + ... + 9831792.

It is an arithmetic number, because the mean of its divisors is an integer number (250523280).

Almost surely, 2^10332661617 is an apocalyptic number.

It is an amenable number.

10332661617 is a deficient number, since it is larger than the sum of its proper divisors (5700828303).

10332661617 is a wasteful number, since it uses less digits than its factorization.

10332661617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10332661617 in words is "ten billion, three hundred thirty-two million, six hundred sixty-one thousand, six hundred seventeen".