225145244567040 has 1280 divisors, whose sum is σ = 860215455830016. Its totient is φ = 49161240576000.

The previous prime is 225145244567039. The next prime is 225145244567051. The reversal of 225145244567040 is 40765442541522.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85056758997 + ... + 85056761643.

Almost surely, 2^{225145244567040} is an apocalyptic number.

225145244567040 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 225145244567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430107727915008).

225145244567040 is an abundant number, since it is smaller than the sum of its proper divisors (635070211262976).

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

225145244567040 is a wasteful number, since it uses less digits than its factorization.

225145244567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 51.

The spelling of 225145244567040 in words is "two hundred twenty-five trillion, one hundred forty-five billion, two hundred forty-four million, five hundred sixty-seven thousand, forty".