10045164884661 has 12 divisors (see below), whose sum is σ = 14512211826892. Its totient is φ = 6695609259456.

The previous prime is 10045164884621. The next prime is 10045164884717. The reversal of 10045164884661 is 16648846154001.

10045164884661 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 516 + 4 + 88 + 46 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1949148262161 + 8096016622500 = 1396119^2 + 2845350^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10045164884661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10045164884598 and 10045164884607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045164884621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97223026 + ... + 97326291.

Almost surely, 2^{10045164884661} is an apocalyptic number.

It is an amenable number.

10045164884661 is a deficient number, since it is larger than the sum of its proper divisors (4467046942231).

10045164884661 is a wasteful number, since it uses less digits than its factorization.

10045164884661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194555060 (or 194555057 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10045164884661 in words is "ten trillion, forty-five billion, one hundred sixty-four million, eight hundred eighty-four thousand, six hundred sixty-one".