612606525606216 has 64 divisors (see below), whose sum is σ = 1718533157702400. Its totient is φ = 202180371480000.

The previous prime is 612606525606211. The next prime is 612606525606293.

It is a happy number.

612606525606216 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 0 + 6 + 5 + 2 + 5 + 6 + 0 + 621 + 6 = 666.

612606525606216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (612606525606211) by changing a digit.

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, 14040281760 + ... + 14040325391.

It is an arithmetic number, because the mean of its divisors is an integer number (26852080589100).

Almost surely, 2^{612606525606216} is an apocalyptic number.

It is an amenable number.

612606525606216 is an abundant number, since it is smaller than the sum of its proper divisors (1105926632096184).

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

612606525606216 is a wasteful number, since it uses less digits than its factorization.

612606525606216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28080607267 (or 28080607257 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 612606525606216 in words is "six hundred twelve trillion, six hundred six billion, five hundred twenty-five million, six hundred six thousand, two hundred sixteen".