612435534216 has 192 divisors, whose sum is σ = 1702607437440. Its totient is φ = 183429734400.

The previous prime is 612435534209. The next prime is 612435534241.

612435534216 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87775720 + ... + 87782696.

It is an arithmetic number, because the mean of its divisors is an integer number (8867747070).

Almost surely, 2^612435534216 is an apocalyptic number.

612435534216 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 612435534216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851303718720).

612435534216 is an abundant number, since it is smaller than the sum of its proper divisors (1090171903224).

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

612435534216 is a wasteful number, since it uses less digits than its factorization.

612435534216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7341 counting only the distinct ones).

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

The spelling of 612435534216 in words is "six hundred twelve billion, four hundred thirty-five million, five hundred thirty-four thousand, two hundred sixteen".