225383640797952 has 2304 divisors, whose sum is σ = 879954911539200. Its totient is φ = 55301379194880.

The previous prime is 225383640797947. The next prime is 225383640797993. The reversal of 225383640797952 is 259797046383522.

225383640797952 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 83 + 6 + 407 + 97 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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 255 ways as a sum of consecutive naturals, for example, 72215198952 + ... + 72215202072.

It is an arithmetic number, because the mean of its divisors is an integer number (381924874800).

Almost surely, 2^{225383640797952} 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 225383640797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439977455769600).

225383640797952 is an abundant number, since it is smaller than the sum of its proper divisors (654571270741248).

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

225383640797952 is a wasteful number, since it uses less digits than its factorization.

225383640797952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 225383640797952 in words is "two hundred twenty-five trillion, three hundred eighty-three billion, six hundred forty million, seven hundred ninety-seven thousand, nine hundred fifty-two".