20545305144345 has 48 divisors (see below), whose sum is σ = 35667822267792. Its totient is φ = 10940280422400.

The previous prime is 20545305144311. The next prime is 20545305144359. The reversal of 20545305144345 is 54344150354502.

20545305144345 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 53 + 0 + 514 + 43 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3359372113881 + 17185933030464 = 1832859^2 + 4145592^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20545305144345 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20545305144345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493654977 + ... + 493696593.

It is an arithmetic number, because the mean of its divisors is an integer number (743079630579).

Almost surely, 2^{20545305144345} is an apocalyptic number.

It is an amenable number.

20545305144345 is a deficient number, since it is larger than the sum of its proper divisors (15122517123447).

20545305144345 is a wasteful number, since it uses less digits than its factorization.

20545305144345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58602 (or 58599 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 20545305144345 its reverse (54344150354502), we get a palindrome (74889455498847).

The spelling of 20545305144345 in words is "twenty trillion, five hundred forty-five billion, three hundred five million, one hundred forty-four thousand, three hundred forty-five".