2134334334312 has 96 divisors (see below), whose sum is σ = 5852287289160. Its totient is φ = 702643200000.

The previous prime is 2134334334217. The next prime is 2134334334359.

2134334334312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 3 + 4 + 334 + 312 = 666.

2134334334312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2073962895876 + 60371438436 = 1440126^2 + 245706^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 2550112 + ... + 3282032.

Almost surely, 2^{2134334334312} 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 2134334334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926143644580).

2134334334312 is an abundant number, since it is smaller than the sum of its proper divisors (3717952954848).

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

2134334334312 is a wasteful number, since it uses less digits than its factorization.

2134334334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732435 (or 732428 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 2134334334312 in words is "two trillion, one hundred thirty-four billion, three hundred thirty-four million, three hundred thirty-four thousand, three hundred twelve".