225145401452000 has 192 divisors, whose sum is σ = 559010911140864. Its totient is φ = 89110687910400.

The previous prime is 225145401451991. The next prime is 225145401452003. The reversal of 225145401452000 is 254104541522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225145401452003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503652587 + ... + 504099413.

It is an arithmetic number, because the mean of its divisors is an integer number (2911515162192).

Almost surely, 2^{225145401452000} is an apocalyptic number.

225145401452000 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 225145401452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279505455570432).

225145401452000 is an abundant number, since it is smaller than the sum of its proper divisors (333865509688864).

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

225145401452000 is a wasteful number, since it uses less digits than its factorization.

225145401452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448178 (or 448160 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 225145401452000 its reverse (254104541522), we get a palindrome (225399505993522).

The spelling of 225145401452000 in words is "two hundred twenty-five trillion, one hundred forty-five billion, four hundred one million, four hundred fifty-two thousand".