612731616912 has 120 divisors (see below), whose sum is σ = 1756808916408. Its totient is φ = 199282636800.

The previous prime is 612731616877. The next prime is 612731617007. The reversal of 612731616912 is 219616137216.

612731616912 is a `hidden beast` number, since 6 + 1 + 27 + 3 + 1 + 616 + 9 + 1 + 2 = 666.

612731616912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86909398416 + 525822218496 = 294804^2 + 725136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159612 + ... + 1603172.

Almost surely, 2^612731616912 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 612731616912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878404458204).

612731616912 is an abundant number, since it is smaller than the sum of its proper divisors (1144077299496).

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

612731616912 is a wasteful number, since it uses less digits than its factorization.

612731616912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443809 (or 443800 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 612731616912 in words is "six hundred twelve billion, seven hundred thirty-one million, six hundred sixteen thousand, nine hundred twelve".