538645536 has 432 divisors, whose sum is σ = 1921472280. Its totient is φ = 141926400.

The previous prime is 538645531. The next prime is 538645571. The reversal of 538645536 is 635546835.

538645536 is a `hidden beast` number, since 5 + 38 + 64 + 553 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230432400 + 308213136 = 15180^2 + 17556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 538645491 and 538645500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538645531) 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, 13137676 + ... + 13137716.

Almost surely, 2^538645536 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 538645536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960736140).

538645536 is an abundant number, since it is smaller than the sum of its proper divisors (1382826744).

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

538645536 is a wasteful number, since it uses less digits than its factorization.

538645536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 538645536 is about 23208.7383543354. The cubic root of 538645536 is about 813.6438666115.

The spelling of 538645536 in words is "five hundred thirty-eight million, six hundred forty-five thousand, five hundred thirty-six".