225375929797824 has 672 divisors, whose sum is σ = 710461955898240. Its totient is φ = 67892007665664.

The previous prime is 225375929797801. The next prime is 225375929797871. The reversal of 225375929797824 is 428797929573522.

225375929797824 is a `hidden beast` number, since 2 + 2 + 5 + 375 + 92 + 9 + 79 + 78 + 24 = 666.

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 95 ways as a sum of consecutive naturals, for example, 47357831157 + ... + 47357835915.

It is an arithmetic number, because the mean of its divisors is an integer number (1057235053420).

Almost surely, 2^{225375929797824} is an apocalyptic number.

225375929797824 is a gapful number since it is divisible by the number (24) 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 225375929797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355230977949120).

225375929797824 is an abundant number, since it is smaller than the sum of its proper divisors (485086026100416).

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

225375929797824 is a wasteful number, since it uses less digits than its factorization.

225375929797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5564 counting only the distinct ones).

The product of its digits is 9601804800, while the sum is 81.

The spelling of 225375929797824 in words is "two hundred twenty-five trillion, three hundred seventy-five billion, nine hundred twenty-nine million, seven hundred ninety-seven thousand, eight hundred twenty-four".