538644484224 has 1728 divisors, whose sum is σ = 2177033695200. Its totient is φ = 131054837760.

The previous prime is 538644484219. The next prime is 538644484229. The reversal of 538644484224 is 422484446835.

538644484224 is a `hidden beast` number, since 538 + 6 + 4 + 4 + 4 + 84 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (538644484219) and next prime (538644484229).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (538644484229) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6052185172 + ... + 6052185260.

Almost surely, 2^538644484224 is an apocalyptic number.

538644484224 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 538644484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088516847600).

538644484224 is an abundant number, since it is smaller than the sum of its proper divisors (1638389210976).

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

538644484224 is a wasteful number, since it uses less digits than its factorization.

538644484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 131 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 54.

The spelling of 538644484224 in words is "five hundred thirty-eight billion, six hundred forty-four million, four hundred eighty-four thousand, two hundred twenty-four".