33465253248 has 640 divisors, whose sum is σ = 119423436000. Its totient is φ = 9217732608.

The previous prime is 33465253243. The next prime is 33465253277. The reversal of 33465253248 is 84235256433.

33465253248 is a `hidden beast` number, since 33 + 46 + 5 + 2 + 532 + 48 = 666.

It is a super-2 number, since 2×33465253248² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33465253243) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 307020618 + ... + 307020726.

Almost surely, 2^33465253248 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 33465253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59711718000).

33465253248 is an abundant number, since it is smaller than the sum of its proper divisors (85958182752).

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

33465253248 is an equidigital number, since it uses as much as digits as its factorization.

33465253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 33465253248 in words is "thirty-three billion, four hundred sixty-five million, two hundred fifty-three thousand, two hundred forty-eight".