33129897233664 has 288 divisors, whose sum is σ = 110839567426560. Its totient is φ = 8605166254080.

The previous prime is 33129897233659. The next prime is 33129897233677. The reversal of 33129897233664 is 46633279892133.

33129897233664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 33129897233595 and 33129897233604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4840447 + ... + 9470465.

It is an arithmetic number, because the mean of its divisors is an integer number (384859609120).

Almost surely, 2^{33129897233664} 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 33129897233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55419783713280).

33129897233664 is an abundant number, since it is smaller than the sum of its proper divisors (77709670192896).

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

33129897233664 is an equidigital number, since it uses as much as digits as its factorization.

33129897233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630078 (or 4630042 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 66.

The spelling of 33129897233664 in words is "thirty-three trillion, one hundred twenty-nine billion, eight hundred ninety-seven million, two hundred thirty-three thousand, six hundred sixty-four".