225045550400000 has 960 divisors, whose sum is σ = 629801353133568. Its totient is φ = 79629312000000.

The previous prime is 225045550399991. The next prime is 225045550400017. The reversal of 225045550400000 is 4055540522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 225045550400000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162958399310 + ... + 162958400690.

Almost surely, 2^{225045550400000} is an apocalyptic number.

225045550400000 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 225045550400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314900676566784).

225045550400000 is an abundant number, since it is smaller than the sum of its proper divisors (404755802733568).

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

225045550400000 is an equidigital number, since it uses as much as digits as its factorization.

225045550400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The spelling of 225045550400000 in words is "two hundred twenty-five trillion, forty-five billion, five hundred fifty million, four hundred thousand".