528012946944 has 320 divisors, whose sum is σ = 1790033287680. Its totient is φ = 150540042240.

The previous prime is 528012946943. The next prime is 528012946999. The reversal of 528012946944 is 449649210825.

528012946944 is a `hidden beast` number, since 52 + 8 + 0 + 129 + 469 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528012946943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47507532 + ... + 47518644.

It is an arithmetic number, because the mean of its divisors is an integer number (5593854024).

Almost surely, 2^528012946944 is an apocalyptic number.

528012946944 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 528012946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895016643840).

528012946944 is an abundant number, since it is smaller than the sum of its proper divisors (1262020340736).

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

528012946944 is a wasteful number, since it uses less digits than its factorization.

528012946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 528012946944 in words is "five hundred twenty-eight billion, twelve million, nine hundred forty-six thousand, nine hundred forty-four".