33022545152 has 144 divisors (see below), whose sum is σ = 72566774784. Its totient is φ = 14929920000.

The previous prime is 33022545151. The next prime is 33022545161. The reversal of 33022545152 is 25154522033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33022545151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20370902 + ... + 20372522.

It is an arithmetic number, because the mean of its divisors is an integer number (503935936).

Almost surely, 2^33022545152 is an apocalyptic number.

33022545152 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 33022545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283387392).

33022545152 is an abundant number, since it is smaller than the sum of its proper divisors (39544229632).

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

33022545152 is a wasteful number, since it uses less digits than its factorization.

33022545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1822 counting only the distinct ones).

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

The spelling of 33022545152 in words is "thirty-three billion, twenty-two million, five hundred forty-five thousand, one hundred fifty-two".