33248342820 has 768 divisors, whose sum is σ = 130172313600. Its totient is φ = 6131220480.

The previous prime is 33248342789. The next prime is 33248342863. The reversal of 33248342820 is 2824384233.

It is a super-2 number, since 2×33248342820² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94187764 + ... + 94188116.

It is an arithmetic number, because the mean of its divisors is an integer number (169495200).

Almost surely, 2^33248342820 is an apocalyptic number.

33248342820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33248342820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65086156800).

33248342820 is an abundant number, since it is smaller than the sum of its proper divisors (96923970780).

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

33248342820 is a wasteful number, since it uses less digits than its factorization.

33248342820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 33248342820 in words is "thirty-three billion, two hundred forty-eight million, three hundred forty-two thousand, eight hundred twenty".