2133464643312 has 80 divisors (see below), whose sum is σ = 5660800498080. Its totient is φ = 691886555136.

The previous prime is 2133464643301. The next prime is 2133464643313.

2133464643312 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133464643313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32988864 + ... + 33053472.

It is an arithmetic number, because the mean of its divisors is an integer number (70760006226).

Almost surely, 2^{2133464643312} is an apocalyptic number.

It is an amenable number.

2133464643312 is an abundant number, since it is smaller than the sum of its proper divisors (3527335854768).

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

2133464643312 is a wasteful number, since it uses less digits than its factorization.

2133464643312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83250 (or 83244 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 2133464643312 in words is "two trillion, one hundred thirty-three billion, four hundred sixty-four million, six hundred forty-three thousand, three hundred twelve".