10645610256561 has 48 divisors (see below), whose sum is σ = 17244916583040. Its totient is φ = 5721159045120.

The previous prime is 10645610256553. The next prime is 10645610256581. The reversal of 10645610256561 is 16565201654601.

It is not a de Polignac number, because 10645610256561 - 2³ = 10645610256553 is a prime.

It is a super-2 number, since 2×10645610256561² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10645610256561.

It is not an unprimeable number, because it can be changed into a prime (10645610256581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7615495 + ... + 8904323.

It is an arithmetic number, because the mean of its divisors is an integer number (359269095480).

Almost surely, 2^{10645610256561} is an apocalyptic number.

It is an amenable number.

10645610256561 is a deficient number, since it is larger than the sum of its proper divisors (6599306326479).

10645610256561 is a wasteful number, since it uses less digits than its factorization.

10645610256561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290234 (or 1290217 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 10645610256561 in words is "ten trillion, six hundred forty-five billion, six hundred ten million, two hundred fifty-six thousand, five hundred sixty-one".