612341143216 has 160 divisors (see below), whose sum is σ = 1392648007680. Its totient is φ = 257721446400.

The previous prime is 612341143213. The next prime is 612341143243.

612341143216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (612341143213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212690865 + ... + 212693743.

It is an arithmetic number, because the mean of its divisors is an integer number (8704050048).

Almost surely, 2^612341143216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612341143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696324003840).

612341143216 is an abundant number, since it is smaller than the sum of its proper divisors (780306864464).

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

612341143216 is a wasteful number, since it uses less digits than its factorization.

612341143216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4037 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 612341 and 143216, that added together give a palindrome (755557).

The spelling of 612341143216 in words is "six hundred twelve billion, three hundred forty-one million, one hundred forty-three thousand, two hundred sixteen".