10045164884659 has 32 divisors (see below), whose sum is σ = 10596495168000. Its totient is φ = 9503968615680.

The previous prime is 10045164884621. The next prime is 10045164884717. The reversal of 10045164884659 is 95648846154001.

It is a cyclic number.

It is not a de Polignac number, because 10045164884659 - 2¹¹ = 10045164882611 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10045164884597 and 10045164884606.

It is not an unprimeable number, because it can be changed into a prime (10045164884059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2560580472 + ... + 2560584394.

It is an arithmetic number, because the mean of its divisors is an integer number (331140474000).

Almost surely, 2^{10045164884659} is an apocalyptic number.

10045164884659 is a deficient number, since it is larger than the sum of its proper divisors (551330283341).

10045164884659 is a wasteful number, since it uses less digits than its factorization.

10045164884659 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035.

The product of its (nonzero) digits is 33177600, while the sum is 61.

The spelling of 10045164884659 in words is "ten trillion, forty-five billion, one hundred sixty-four million, eight hundred eighty-four thousand, six hundred fifty-nine".