533328966144 has 480 divisors, whose sum is σ = 1728699772800. Its totient is φ = 163178053632.

The previous prime is 533328966103. The next prime is 533328966151. The reversal of 533328966144 is 441669823335.

533328966144 is a `hidden beast` number, since 533 + 3 + 2 + 8 + 9 + 6 + 61 + 44 = 666.

It is a super-2 number, since 2×533328966144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321863364 + ... + 321865020.

It is an arithmetic number, because the mean of its divisors is an integer number (3601457860).

Almost surely, 2^533328966144 is an apocalyptic number.

533328966144 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 533328966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864349886400).

533328966144 is an abundant number, since it is smaller than the sum of its proper divisors (1195370806656).

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

533328966144 is a wasteful number, since it uses less digits than its factorization.

533328966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1874 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 533328966144 in words is "five hundred thirty-three billion, three hundred twenty-eight million, nine hundred sixty-six thousand, one hundred forty-four".