225815869440 has 1920 divisors, whose sum is σ = 1027458432000. Its totient is φ = 46246920192.

The previous prime is 225815869427. The next prime is 225815869441. The reversal of 225815869440 is 44968518522.

225815869440 is a `hidden beast` number, since 2 + 2 + 58 + 1 + 586 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10680 × 10488 × 2016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225815869441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2537256916 + ... + 2537257004.

It is an arithmetic number, because the mean of its divisors is an integer number (535134600).

Almost surely, 2^225815869440 is an apocalyptic number.

225815869440 is a gapful number since it is divisible by the number (20) 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 225815869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513729216000).

225815869440 is an abundant number, since it is smaller than the sum of its proper divisors (801642562560).

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

225815869440 is a wasteful number, since it uses less digits than its factorization.

225815869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 225815869440 in words is "two hundred twenty-five billion, eight hundred fifteen million, eight hundred sixty-nine thousand, four hundred forty".