33984329433664 has 21 divisors (see below), whose sum is σ = 67437746265081. Its totient is φ = 16992141398400.

The previous prime is 33984329433653. The next prime is 33984329433667. The reversal of 33984329433664 is 46633492348933.

The square root of 33984329433664 is 5829608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3952175808064 + 30032153625600 = 1988008^2 + 5480160^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33984329433664.

It is not an unprimeable number, because it can be changed into a prime (33984329433667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 46272514 + ... + 47001214.

Almost surely, 2^{33984329433664} is an apocalyptic number.

33984329433664 is the 5829608-th square number.

It is an amenable number.

33984329433664 is a deficient number, since it is larger than the sum of its proper divisors (33453416831417).

33984329433664 is an frugal number, since it uses more digits than its factorization.

33984329433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457414 (or 728703 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 67.

The spelling of 33984329433664 in words is "thirty-three trillion, nine hundred eighty-four billion, three hundred twenty-nine million, four hundred thirty-three thousand, six hundred sixty-four".