225067848794496 has 192 divisors, whose sum is σ = 674197247243520. Its totient is φ = 74737356452352.

The previous prime is 225067848794483. The next prime is 225067848794513. The reversal of 225067848794496 is 694497848760522.

225067848794496 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 6 + 7 + 8 + 487 + 9 + 44 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×225067848794496² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576260 + ... + 21936963.

It is an arithmetic number, because the mean of its divisors is an integer number (3511443996060).

Almost surely, 2^{225067848794496} is an apocalyptic number.

It is an amenable number.

225067848794496 is an abundant number, since it is smaller than the sum of its proper divisors (449129398449024).

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

225067848794496 is an equidigital number, since it uses as much as digits as its factorization.

225067848794496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27513515 (or 27513491 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 81.

The spelling of 225067848794496 in words is "two hundred twenty-five trillion, sixty-seven billion, eight hundred forty-eight million, seven hundred ninety-four thousand, four hundred ninety-six".