10612965638017 has 16 divisors (see below), whose sum is σ = 11176326630720. Its totient is φ = 10050084072000.

The previous prime is 10612965637997. The next prime is 10612965638021. The reversal of 10612965638017 is 71083656921601.

10612965638017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10612965638017 is a prime.

It is a super-2 number, since 2×10612965638017² (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 (10612965638027) 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, 645117642 + ... + 645134092.

It is an arithmetic number, because the mean of its divisors is an integer number (698520414420).

Almost surely, 2^{10612965638017} is an apocalyptic number.

It is an amenable number.

10612965638017 is a deficient number, since it is larger than the sum of its proper divisors (563360992703).

10612965638017 is a wasteful number, since it uses less digits than its factorization.

10612965638017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28944.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 10612965638017 in words is "ten trillion, six hundred twelve billion, nine hundred sixty-five million, six hundred thirty-eight thousand, seventeen".