225885132864 has 168 divisors, whose sum is σ = 678091534848. Its totient is φ = 74549030400.

The previous prime is 225885132853. The next prime is 225885132899. The reversal of 225885132864 is 468231588522.

225885132864 is a `hidden beast` number, since 2 + 2 + 588 + 51 + 3 + 2 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225885132864.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1498849 + ... + 1642655.

It is an arithmetic number, because the mean of its divisors is an integer number (4036259136).

Almost surely, 2^225885132864 is an apocalyptic number.

225885132864 is a gapful number since it is divisible by the number (24) 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 225885132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339045767424).

225885132864 is an abundant number, since it is smaller than the sum of its proper divisors (452206401984).

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

225885132864 is a wasteful number, since it uses less digits than its factorization.

225885132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143935 (or 143913 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 225885132864 in words is "two hundred twenty-five billion, eight hundred eighty-five million, one hundred thirty-two thousand, eight hundred sixty-four".