33484335648 has 48 divisors (see below), whose sum is σ = 87906401856. Its totient is φ = 11160172800.

The previous prime is 33484335641. The next prime is 33484335653. The reversal of 33484335648 is 84653348433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33484335648² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33484335648.

It is not an unprimeable number, because it can be changed into a prime (33484335641) 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 7 ways as a sum of consecutive naturals, for example, 1240698 + ... + 1267398.

It is an arithmetic number, because the mean of its divisors is an integer number (1831383372).

Almost surely, 2^33484335648 is an apocalyptic number.

It is an amenable number.

33484335648 is an abundant number, since it is smaller than the sum of its proper divisors (54422066208).

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

33484335648 is a wasteful number, since it uses less digits than its factorization.

33484335648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39777 (or 39769 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 51.

The spelling of 33484335648 in words is "thirty-three billion, four hundred eighty-four million, three hundred thirty-five thousand, six hundred forty-eight".