2135838385312 has 48 divisors (see below), whose sum is σ = 4273989753600. Its totient is φ = 1050481186560.

The previous prime is 2135838385271. The next prime is 2135838385333.

2135838385312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2135838385312.

It is an unprimeable number.

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, 890364 + ... + 2250427.

It is an arithmetic number, because the mean of its divisors is an integer number (89041453200).

Almost surely, 2^{2135838385312} is an apocalyptic number.

It is an amenable number.

2135838385312 is an abundant number, since it is smaller than the sum of its proper divisors (2138151368288).

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

2135838385312 is a wasteful number, since it uses less digits than its factorization.

2135838385312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141149 (or 3141141 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 2135838385312 in words is "two trillion, one hundred thirty-five billion, eight hundred thirty-eight million, three hundred eighty-five thousand, three hundred twelve".