612346643216 has 80 divisors (see below), whose sum is σ = 1480229009280. Its totient is φ = 238406615040.

The previous prime is 612346643203. The next prime is 612346643309.

612346643216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×612346643216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559510 + ... + 1912266.

It is an arithmetic number, because the mean of its divisors is an integer number (18502862616).

Almost surely, 2^612346643216 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 612346643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740114504640).

612346643216 is an abundant number, since it is smaller than the sum of its proper divisors (867882366064).

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

612346643216 is a wasteful number, since it uses less digits than its factorization.

612346643216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354192 (or 354186 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The spelling of 612346643216 in words is "six hundred twelve billion, three hundred forty-six million, six hundred forty-three thousand, two hundred sixteen".