612503305216 has 528 divisors, whose sum is σ = 1502213188608. Its totient is φ = 247106764800.

The previous prime is 612503305189. The next prime is 612503305277.

612503305216 is nontrivially palindromic in base 10.

It is a congruent number.

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, 5420383176 + ... + 5420383288.

It is an arithmetic number, because the mean of its divisors is an integer number (2845100736).

Almost surely, 2^612503305216 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 612503305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751106594304).

612503305216 is an abundant number, since it is smaller than the sum of its proper divisors (889709883392).

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

612503305216 is a wasteful number, since it uses less digits than its factorization.

612503305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 612503 and 305216, that added together give a palindrome (917719).

The spelling of 612503305216 in words is "six hundred twelve billion, five hundred three million, three hundred five thousand, two hundred sixteen".