612114202411216 has 20 divisors (see below), whose sum is σ = 1188612628582500. Its totient is φ = 305375459551232.

The previous prime is 612114202411213. The next prime is 612114202411219.

612114202411216 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (612114202411213) and next prime (612114202411219).

It can be written as a sum of positive squares in 2 ways, for example, as 517458037271616 + 94656165139600 = 22747704^2 + 9729140^2 .

It is a super-2 number, since 2×612114202411216² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612114202411213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42602595991 + ... + 42602610358.

It is an arithmetic number, because the mean of its divisors is an integer number (59430631429125).

Almost surely, 2^{612114202411216} is an apocalyptic number.

It is an amenable number.

612114202411216 is a deficient number, since it is larger than the sum of its proper divisors (576498426171284).

612114202411216 is a wasteful number, since it uses less digits than its factorization.

612114202411216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85205206806 (or 85205206800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

It can be divided in two parts, 61211420 and 2411216, that added together give a palindrome (63622636).

The spelling of 612114202411216 in words is "six hundred twelve trillion, one hundred fourteen billion, two hundred two million, four hundred eleven thousand, two hundred sixteen".