13825144000 has 224 divisors, whose sum is σ = 35467600896. Its totient is φ = 5335116800.

The previous prime is 13825143989. The next prime is 13825144001. The reversal of 13825144000 is 44152831.

It is a super-2 number, since 2×13825144000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13825144000.

It is not an unprimeable number, because it can be changed into a prime (13825144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31207779 + ... + 31208221.

It is an arithmetic number, because the mean of its divisors is an integer number (158337504).

Almost surely, 2^13825144000 is an apocalyptic number.

13825144000 is a gapful number since it is divisible by the number (10) 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 13825144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733800448).

13825144000 is an abundant number, since it is smaller than the sum of its proper divisors (21642456896).

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

13825144000 is an equidigital number, since it uses as much as digits as its factorization.

13825144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 13825144000 its reverse (44152831), we get a palindrome (13869296831).

The spelling of 13825144000 in words is "thirteen billion, eight hundred twenty-five million, one hundred forty-four thousand".