225104150544 has 240 divisors, whose sum is σ = 729389441088. Its totient is φ = 59295366144.

The previous prime is 225104150521. The next prime is 225104150569. The reversal of 225104150544 is 445051401522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27728374 + ... + 27736490.

Almost surely, 2^225104150544 is an apocalyptic number.

225104150544 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 225104150544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364694720544).

225104150544 is an abundant number, since it is smaller than the sum of its proper divisors (504285290544).

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

225104150544 is a wasteful number, since it uses less digits than its factorization.

225104150544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

It can be divided in two parts, 2251041 and 50544, that added together give a triangular number (2301585 = T₂₁₄₅).

The spelling of 225104150544 in words is "two hundred twenty-five billion, one hundred four million, one hundred fifty thousand, five hundred forty-four".