33545450120 has 256 divisors, whose sum is σ = 94821027840. Its totient is φ = 10398440448.

The previous prime is 33545450117. The next prime is 33545450161. The reversal of 33545450120 is 2105454533.

It is a happy number.

It is a super-2 number, since 2×33545450120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64140179 + ... + 64140701.

It is an arithmetic number, because the mean of its divisors is an integer number (370394640).

Almost surely, 2^33545450120 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 33545450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410513920).

33545450120 is an abundant number, since it is smaller than the sum of its proper divisors (61275577720).

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

33545450120 is a wasteful number, since it uses less digits than its factorization.

33545450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 33545450120 in words is "thirty-three billion, five hundred forty-five million, four hundred fifty thousand, one hundred twenty".