33134407056 has 120 divisors (see below), whose sum is σ = 98338386744. Its totient is φ = 10378874880.

The previous prime is 33134407013. The next prime is 33134407057. The reversal of 33134407056 is 65070443133.

It can be written as a sum of positive squares in 4 ways, for example, as 18714240000 + 14420167056 = 136800^2 + 120084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33134407056.

It is not an unprimeable number, because it can be changed into a prime (33134407057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1607890 + ... + 1628366.

Almost surely, 2^33134407056 is an apocalyptic number.

33134407056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33134407056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49169193372).

33134407056 is an abundant number, since it is smaller than the sum of its proper divisors (65203979688).

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

33134407056 is a wasteful number, since it uses less digits than its factorization.

33134407056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169 (or 21160 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 33134407056 in words is "thirty-three billion, one hundred thirty-four million, four hundred seven thousand, fifty-six".