225507803136 has 672 divisors, whose sum is σ = 805305984000. Its totient is φ = 55490641920.

The previous prime is 225507803123. The next prime is 225507803137. The reversal of 225507803136 is 631308705522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225507803137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11868831735 + ... + 11868831753.

It is an arithmetic number, because the mean of its divisors is an integer number (1198372000).

Almost surely, 2^225507803136 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 225507803136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402652992000).

225507803136 is an abundant number, since it is smaller than the sum of its proper divisors (579798180864).

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

225507803136 is an frugal number, since it uses more digits than its factorization.

225507803136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 225507803136 in words is "two hundred twenty-five billion, five hundred seven million, eight hundred three thousand, one hundred thirty-six".