225308988761472 has 1024 divisors, whose sum is σ = 841742254080000. Its totient is φ = 57630403584000.

The previous prime is 225308988761377. The next prime is 225308988761503. The reversal of 225308988761472 is 274167889803522.

225308988761472 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 8 + 9 + 88 + 76 + 1 + 472 = 666.

225308988761472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 225308988761472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8177874097 + ... + 8177901647.

It is an arithmetic number, because the mean of its divisors is an integer number (822013920000).

It is a 1-persistent number, because it is pandigital, but 2⋅225308988761472 = 450617977522944 is not.

Almost surely, 2^{225308988761472} is an apocalyptic number.

225308988761472 is a gapful number since it is divisible by the number (22) 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 225308988761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420871127040000).

225308988761472 is an abundant number, since it is smaller than the sum of its proper divisors (616433265318528).

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

225308988761472 is a wasteful number, since it uses less digits than its factorization.

225308988761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28060 (or 28042 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 225308988761472 in words is "two hundred twenty-five trillion, three hundred eight billion, nine hundred eighty-eight million, seven hundred sixty-one thousand, four hundred seventy-two".