2133733816968 has 128 divisors (see below), whose sum is σ = 5950226580480. Its totient is φ = 633185694720.

The previous prime is 2133733816957. The next prime is 2133733816993. The reversal of 2133733816968 is 8696183373312.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 2457430 + ... + 3210362.

It is an arithmetic number, because the mean of its divisors is an integer number (46486145160).

Almost surely, 2^{2133733816968} 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 2133733816968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975113290240).

2133733816968 is an abundant number, since it is smaller than the sum of its proper divisors (3816492763512).

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

2133733816968 is a wasteful number, since it uses less digits than its factorization.

2133733816968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753279 (or 753275 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The spelling of 2133733816968 in words is "two trillion, one hundred thirty-three billion, seven hundred thirty-three million, eight hundred sixteen thousand, nine hundred sixty-eight".