528423214464 has 384 divisors, whose sum is σ = 1646191872000. Its totient is φ = 162221875200.

The previous prime is 528423214453. The next prime is 528423214507. The reversal of 528423214464 is 464412324825.

528423214464 is a `hidden beast` number, since 5 + 2 + 8 + 423 + 214 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 173308812 + ... + 173311860.

It is an arithmetic number, because the mean of its divisors is an integer number (4286958000).

Almost surely, 2^528423214464 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 528423214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823095936000).

528423214464 is an abundant number, since it is smaller than the sum of its proper divisors (1117768657536).

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

528423214464 is a wasteful number, since it uses less digits than its factorization.

528423214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3319 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 528423214464 in words is "five hundred twenty-eight billion, four hundred twenty-three million, two hundred fourteen thousand, four hundred sixty-four".