934879283712 has 300 divisors, whose sum is σ = 3067115721978. Its totient is φ = 283295232000.

The previous prime is 934879283707. The next prime is 934879283759. The reversal of 934879283712 is 217382978439.

934879283712 is a `hidden beast` number, since 9 + 3 + 487 + 9 + 2 + 83 + 71 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 812334479616 + 122544804096 = 901296^2 + 350064^2 .

It is a super-2 number, since 2×934879283712² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 934879283712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4924962 + ... + 5111262.

Almost surely, 2^934879283712 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 934879283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533557860989).

934879283712 is an abundant number, since it is smaller than the sum of its proper divisors (2132236438266).

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

934879283712 is a wasteful number, since it uses less digits than its factorization.

934879283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186353 (or 186317 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 934879283712 in words is "nine hundred thirty-four billion, eight hundred seventy-nine million, two hundred eighty-three thousand, seven hundred twelve".