4528145664 has 324 divisors, whose sum is σ = 15994218240. Its totient is φ = 1225082880.

The previous prime is 4528145663. The next prime is 4528145681. The reversal of 4528145664 is 4665418254.

It is a happy number.

4528145664 is a `hidden beast` number, since 4 + 5 + 2 + 81 + 4 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4528145663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2143969 + ... + 2146079.

Almost surely, 2^4528145664 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 4528145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997109120).

4528145664 is an abundant number, since it is smaller than the sum of its proper divisors (11466072576).

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

4528145664 is a wasteful number, since it uses less digits than its factorization.

4528145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2142 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 4528145664 is about 67291.4977095918. The cubic root of 4528145664 is about 1654.3985077312.

The spelling of 4528145664 in words is "four billion, five hundred twenty-eight million, one hundred forty-five thousand, six hundred sixty-four".