612543345216 has 168 divisors, whose sum is σ = 1782265891392. Its totient is φ = 185530752000.

The previous prime is 612543345203. The next prime is 612543345221.

612543345216 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61861866 + ... + 61871766.

It is an arithmetic number, because the mean of its divisors is an integer number (10608725544).

Almost surely, 2^612543345216 is an apocalyptic number.

612543345216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612543345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891132945696).

612543345216 is an abundant number, since it is smaller than the sum of its proper divisors (1169722546176).

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

612543345216 is a wasteful number, since it uses less digits than its factorization.

612543345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601 (or 12580 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 612543 and 345216, that added together give a palindrome (957759).

The spelling of 612543345216 in words is "six hundred twelve billion, five hundred forty-three million, three hundred forty-five thousand, two hundred sixteen".