33001134480 has 80 divisors (see below), whose sum is σ = 113670581760. Its totient is φ = 8800301952.

The previous prime is 33001134443. The next prime is 33001134487. The reversal of 33001134480 is 8443110033.

33001134480 is a `hidden beast` number, since 3 + 300 + 11 + 344 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (33001134487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636992 + ... + 7641311.

It is an arithmetic number, because the mean of its divisors is an integer number (1420882272).

Almost surely, 2^33001134480 is an apocalyptic number.

33001134480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33001134480 is an abundant number, since it is smaller than the sum of its proper divisors (80669447280).

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

33001134480 is a wasteful number, since it uses less digits than its factorization.

33001134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278325 (or 15278313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 33001134480 in words is "thirty-three billion, one million, one hundred thirty-four thousand, four hundred eighty".