25284816144 has 225 divisors, whose sum is σ = 85264734951. Its totient is φ = 7212784320.

The previous prime is 25284816127. The next prime is 25284816149. The reversal of 25284816144 is 44161848252.

The square root of 25284816144 is 159012.

It is a perfect power (a square), and thus also a powerful number.

25284816144 is a `hidden beast` number, since 2 + 5 + 28 + 4 + 8 + 1 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25284816144.

It is not an unprimeable number, because it can be changed into a prime (25284816149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40070709 + ... + 40071339.

Almost surely, 2^25284816144 is an apocalyptic number.

25284816144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25284816144 is the 159012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25284816144

25284816144 is an abundant number, since it is smaller than the sum of its proper divisors (59979918807).

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

25284816144 is an frugal number, since it uses more digits than its factorization.

25284816144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 643 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 25284816144 in words is "twenty-five billion, two hundred eighty-four million, eight hundred sixteen thousand, one hundred forty-four".