10617747335641 has 24 divisors (see below), whose sum is σ = 11222038922400. Its totient is φ = 10044519414336.

The previous prime is 10617747335483. The next prime is 10617747335681. The reversal of 10617747335641 is 14653374771601.

It is not a de Polignac number, because 10617747335641 - 2¹⁵ = 10617747302873 is a prime.

It is a super-2 number, since 2×10617747335641² (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 (10617747335681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401309045 + ... + 1401316621.

It is an arithmetic number, because the mean of its divisors is an integer number (467584955100).

Almost surely, 2^{10617747335641} is an apocalyptic number.

It is an amenable number.

10617747335641 is a deficient number, since it is larger than the sum of its proper divisors (604291586759).

10617747335641 is an equidigital number, since it uses as much as digits as its factorization.

10617747335641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 10617747335641 in words is "ten trillion, six hundred seventeen billion, seven hundred forty-seven million, three hundred thirty-five thousand, six hundred forty-one".