533145232224 has 480 divisors, whose sum is σ = 1799896412160. Its totient is φ = 154511850240.

The previous prime is 533145232187. The next prime is 533145232231. The reversal of 533145232224 is 422232541335.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 79345537 + ... + 79352255.

It is an arithmetic number, because the mean of its divisors is an integer number (3749784192).

Almost surely, 2^533145232224 is an apocalyptic number.

533145232224 is a gapful number since it is divisible by the number (54) 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 533145232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899948206080).

533145232224 is an abundant number, since it is smaller than the sum of its proper divisors (1266751179936).

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

533145232224 is a wasteful number, since it uses less digits than its factorization.

533145232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6758 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 533145232224 its reverse (422232541335), we get a palindrome (955377773559).

The spelling of 533145232224 in words is "five hundred thirty-three billion, one hundred forty-five million, two hundred thirty-two thousand, two hundred twenty-four".