4541529564 has 216 divisors, whose sum is σ = 13748716800. Its totient is φ = 1252817280.

The previous prime is 4541529563. The next prime is 4541529637. The reversal of 4541529564 is 4659251454.

4541529564 is a `hidden beast` number, since 4 + 54 + 15 + 29 + 564 = 666.

It is a super-3 number, since 3×4541529564³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541529563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5286567 + ... + 5287425.

Almost surely, 2^4541529564 is an apocalyptic number.

4541529564 is a gapful number since it is divisible by the number (44) 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 4541529564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874358400).

4541529564 is an abundant number, since it is smaller than the sum of its proper divisors (9207187236).

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

4541529564 is a wasteful number, since it uses less digits than its factorization.

4541529564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 967 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 4541529564 is about 67390.8715183295. The cubic root of 4541529564 is about 1656.0268802960.

The spelling of 4541529564 in words is "four billion, five hundred forty-one million, five hundred twenty-nine thousand, five hundred sixty-four".