33134884435216 has 160 divisors (see below), whose sum is σ = 72227439648000. Its totient is φ = 14656358578176.

The previous prime is 33134884435201. The next prime is 33134884435229. The reversal of 33134884435216 is 61253448843133.

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, 54169930 + ... + 54778198.

It is an arithmetic number, because the mean of its divisors is an integer number (451421497800).

Almost surely, 2^{33134884435216} 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 33134884435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36113719824000).

33134884435216 is an abundant number, since it is smaller than the sum of its proper divisors (39092555212784).

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

33134884435216 is a wasteful number, since it uses less digits than its factorization.

33134884435216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608529 (or 608523 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 55.

The spelling of 33134884435216 in words is "thirty-three trillion, one hundred thirty-four billion, eight hundred eighty-four million, four hundred thirty-five thousand, two hundred sixteen".