2033738481664 has 384 divisors, whose sum is σ = 4635474048000. Its totient is φ = 889435717632.

The previous prime is 2033738481661. The next prime is 2033738481667. The reversal of 2033738481664 is 4661848373302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2033738481661) and next prime (2033738481667).

It is not an unprimeable number, because it can be changed into a prime (2033738481661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16013688769 + ... + 16013688895.

It is an arithmetic number, because the mean of its divisors is an integer number (12071547000).

Almost surely, 2^{2033738481664} 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 2033738481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317737024000).

2033738481664 is an abundant number, since it is smaller than the sum of its proper divisors (2601735566336).

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

2033738481664 is an equidigital number, since it uses as much as digits as its factorization.

2033738481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 55.

The spelling of 2033738481664 in words is "two trillion, thirty-three billion, seven hundred thirty-eight million, four hundred eighty-one thousand, six hundred sixty-four".