653663116346345 has 48 divisors (see below), whose sum is σ = 966236923800720. Its totient is φ = 421815165456384.

The previous prime is 653663116346341. The next prime is 653663116346363. The reversal of 653663116346345 is 543643611366356.

It can be written as a sum of positive squares in 8 ways, for example, as 114076861178329 + 539586255168016 = 10680677^2 + 23228996^2 .

It is not a de Polignac number, because 653663116346345 - 2² = 653663116346341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (653663116346341) by changing a digit.

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, 30989861 + ... + 47620349.

It is an arithmetic number, because the mean of its divisors is an integer number (20129935912515).

Almost surely, 2^{653663116346345} is an apocalyptic number.

It is an amenable number.

653663116346345 is a deficient number, since it is larger than the sum of its proper divisors (312573807454375).

653663116346345 is a wasteful number, since it uses less digits than its factorization.

653663116346345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16639962 (or 16639955 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 62.

The spelling of 653663116346345 in words is "six hundred fifty-three trillion, six hundred sixty-three billion, one hundred sixteen million, three hundred forty-six thousand, three hundred forty-five".