33845305488 has 80 divisors (see below), whose sum is σ = 90708480000. Its totient is φ = 10862881920.

The previous prime is 33845305463. The next prime is 33845305499. The reversal of 33845305488 is 88450354833.

It is a happy number.

It is a super-2 number, since 2×33845305488² (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 33845305488.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238963 + ... + 353261.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856000).

Almost surely, 2^33845305488 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 33845305488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240000).

33845305488 is an abundant number, since it is smaller than the sum of its proper divisors (56863174512).

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

33845305488 is a wasteful number, since it uses less digits than its factorization.

33845305488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114540 (or 114534 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 33845305488 in words is "thirty-three billion, eight hundred forty-five million, three hundred five thousand, four hundred eighty-eight".