10045164884660 has 48 divisors (see below), whose sum is σ = 21411626451600. Its totient is φ = 3957870034944.

The previous prime is 10045164884621. The next prime is 10045164884717. The reversal of 10045164884660 is 6648846154001.

It can be written as a sum of positive squares in 8 ways, for example, as 90117638416 + 9955047246244 = 300196^2 + 3155162^2 .

It is a super-2 number, since 2×10045164884660² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3350765 + ... + 5596244.

It is an arithmetic number, because the mean of its divisors is an integer number (446075551075).

Almost surely, 2^{10045164884660} is an apocalyptic number.

10045164884660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045164884660 is an abundant number, since it is smaller than the sum of its proper divisors (11366461566940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10045164884660 is a wasteful number, since it uses less digits than its factorization.

10045164884660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947860 (or 8947858 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 10045164884660 in words is "ten trillion, forty-five billion, one hundred sixty-four million, eight hundred eighty-four thousand, six hundred sixty".