33025497048 has 192 divisors, whose sum is σ = 95926783680. Its totient is φ = 10238976000.

The previous prime is 33025497041. The next prime is 33025497059. The reversal of 33025497048 is 84079452033.

33025497048 is a `hidden beast` number, since 3 + 30 + 2 + 549 + 70 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33025496994 and 33025497012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33025497041) 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 47 ways as a sum of consecutive naturals, for example, 27225690 + ... + 27226902.

It is an arithmetic number, because the mean of its divisors is an integer number (499618665).

Almost surely, 2^33025497048 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 33025497048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963391840).

33025497048 is an abundant number, since it is smaller than the sum of its proper divisors (62901286632).

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

33025497048 is a wasteful number, since it uses less digits than its factorization.

33025497048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 33025497048 in words is "thirty-three billion, twenty-five million, four hundred ninety-seven thousand, forty-eight".