10145314365660 has 144 divisors (see below), whose sum is σ = 32585558294016. Its totient is φ = 2546181543936.

The previous prime is 10145314365647. The next prime is 10145314365679. The reversal of 10145314365660 is 6656341354101.

10145314365660 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 53 + 1 + 4 + 36 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126071557 + ... + 126152003.

It is an arithmetic number, because the mean of its divisors is an integer number (226288599264).

Almost surely, 2^{10145314365660} is an apocalyptic number.

10145314365660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145314365660 is an abundant number, since it is smaller than the sum of its proper divisors (22440243928356).

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

10145314365660 is a wasteful number, since it uses less digits than its factorization.

10145314365660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121692 (or 121687 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 10145314365660 in words is "ten trillion, one hundred forty-five billion, three hundred fourteen million, three hundred sixty-five thousand, six hundred sixty".