33248238912 has 336 divisors, whose sum is σ = 114302072640. Its totient is φ = 9449395200.

The previous prime is 33248238901. The next prime is 33248238931. The reversal of 33248238912 is 21983284233.

33248238912 is a `hidden beast` number, since 3 + 324 + 8 + 238 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33248238912² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17864862 + ... + 17866722.

It is an arithmetic number, because the mean of its divisors is an integer number (340184740).

Almost surely, 2^33248238912 is an apocalyptic number.

33248238912 is a gapful number since it is divisible by the number (32) 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 33248238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57151036320).

33248238912 is an abundant number, since it is smaller than the sum of its proper divisors (81053833728).

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

33248238912 is a wasteful number, since it uses less digits than its factorization.

33248238912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2084 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 33248238912 in words is "thirty-three billion, two hundred forty-eight million, two hundred thirty-eight thousand, nine hundred twelve".