225984219821569 has 32 divisors (see below), whose sum is σ = 253304406835200. Its totient is φ = 199874420423040.

The previous prime is 225984219821519. The next prime is 225984219821609. The reversal of 225984219821569 is 965128912489522.

It is not a de Polignac number, because 225984219821569 - 2⁷ = 225984219821441 is a prime.

It is a super-2 number, since 2×225984219821569² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225984219821519) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56238912 + ... + 60123070.

It is an arithmetic number, because the mean of its divisors is an integer number (7915762713600).

Almost surely, 2^{225984219821569} is an apocalyptic number.

It is an amenable number.

225984219821569 is a deficient number, since it is larger than the sum of its proper divisors (27320187013631).

225984219821569 is a wasteful number, since it uses less digits than its factorization.

225984219821569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885213.

The product of its digits is 447897600, while the sum is 73.

The spelling of 225984219821569 in words is "two hundred twenty-five trillion, nine hundred eighty-four billion, two hundred nineteen million, eight hundred twenty-one thousand, five hundred sixty-nine".