2135346435312 has 40 divisors (see below), whose sum is σ = 5520822251904. Its totient is φ = 711200128704.

The previous prime is 2135346435311. The next prime is 2135346435401.

2135346435312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135346435311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18128698 + ... + 18246105.

Almost surely, 2^{2135346435312} is an apocalyptic number.

It is an amenable number.

2135346435312 is an abundant number, since it is smaller than the sum of its proper divisors (3385475816592).

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

2135346435312 is a wasteful number, since it uses less digits than its factorization.

2135346435312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36376037 (or 36376031 counting only the distinct ones).

The product of its digits is 777600, while the sum is 42.

The spelling of 2135346435312 in words is "two trillion, one hundred thirty-five billion, three hundred forty-six million, four hundred thirty-five thousand, three hundred twelve".