2033417746164 has 192 divisors, whose sum is σ = 5803370496000. Its totient is φ = 541629849600.

The previous prime is 2033417746117. The next prime is 2033417746169. The reversal of 2033417746164 is 4616477143302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033417746169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33876699 + ... + 33936669.

It is an arithmetic number, because the mean of its divisors is an integer number (30225888000).

Almost surely, 2^{2033417746164} 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 2033417746164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901685248000).

2033417746164 is an abundant number, since it is smaller than the sum of its proper divisors (3769952749836).

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

2033417746164 is a wasteful number, since it uses less digits than its factorization.

2033417746164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60494 (or 60492 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 2033417746164 in words is "two trillion, thirty-three billion, four hundred seventeen million, seven hundred forty-six thousand, one hundred sixty-four".