225374229888000 has 1408 divisors, whose sum is σ = 787819613847552. Its totient is φ = 57118924800000.

The previous prime is 225374229887987. The next prime is 225374229888089. The reversal of 225374229888000 is 888922473522.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394700927715 + ... + 394700928285.

It is an arithmetic number, because the mean of its divisors is an integer number (559530975744).

Almost surely, 2^{225374229888000} is an apocalyptic number.

225374229888000 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 225374229888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393909806923776).

225374229888000 is an abundant number, since it is smaller than the sum of its proper divisors (562445383959552).

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

225374229888000 is a wasteful number, since it uses less digits than its factorization.

225374229888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 225374229888000 in words is "two hundred twenty-five trillion, three hundred seventy-four billion, two hundred twenty-nine million, eight hundred eighty-eight thousand".