33991984488 has 128 divisors (see below), whose sum is σ = 106002432000. Its totient is φ = 8824638720.

The previous prime is 33991984469. The next prime is 33991984493. The reversal of 33991984488 is 88448919933.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

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

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, 5317198 + ... + 5323586.

It is an arithmetic number, because the mean of its divisors is an integer number (828144000).

Almost surely, 2^33991984488 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 33991984488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53001216000).

33991984488 is an abundant number, since it is smaller than the sum of its proper divisors (72010447512).

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

33991984488 is a wasteful number, since it uses less digits than its factorization.

33991984488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9291 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 66.

The spelling of 33991984488 in words is "thirty-three billion, nine hundred ninety-one million, nine hundred eighty-four thousand, four hundred eighty-eight".