225754324992 has 672 divisors, whose sum is σ = 819229686912. Its totient is φ = 60643344384.

The previous prime is 225754324987. The next prime is 225754324993. The reversal of 225754324992 is 299423457522.

225754324992 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 543 + 2 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225754324993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236887588 + ... + 236888540.

It is an arithmetic number, because the mean of its divisors is an integer number (1219091796).

Almost surely, 2^225754324992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225754324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409614843456).

225754324992 is an abundant number, since it is smaller than the sum of its proper divisors (593475361920).

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

225754324992 is an frugal number, since it uses more digits than its factorization.

225754324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 982 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 225754324992 in words is "two hundred twenty-five billion, seven hundred fifty-four million, three hundred twenty-four thousand, nine hundred ninety-two".