2133536353312 has 768 divisors, whose sum is σ = 5757327507456. Its totient is φ = 755453952000.

The previous prime is 2133536353279. The next prime is 2133536353363.

2133536353312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7872827737 + ... + 7872828007.

It is an arithmetic number, because the mean of its divisors is an integer number (7496520192).

Almost surely, 2^{2133536353312} 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 2133536353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878663753728).

2133536353312 is an abundant number, since it is smaller than the sum of its proper divisors (3623791154144).

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

2133536353312 is a wasteful number, since it uses less digits than its factorization.

2133536353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its digits is 437400, while the sum is 40.

The spelling of 2133536353312 in words is "two trillion, one hundred thirty-three billion, five hundred thirty-six million, three hundred fifty-three thousand, three hundred twelve".