33122869248 has 112 divisors (see below), whose sum is σ = 100940250240. Its totient is φ = 9463627776.

The previous prime is 33122869231. The next prime is 33122869259. The reversal of 33122869248 is 84296822133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 33122869197 and 33122869206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75763 + ... + 268301.

Almost surely, 2^33122869248 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 33122869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50470125120).

33122869248 is an abundant number, since it is smaller than the sum of its proper divisors (67817380992).

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

33122869248 is an equidigital number, since it uses as much as digits as its factorization.

33122869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192575 (or 192551 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 33122869248 in words is "thirty-three billion, one hundred twenty-two million, eight hundred sixty-nine thousand, two hundred forty-eight".