225441236632001 has 24 divisors (see below), whose sum is σ = 250871084454312. Its totient is φ = 201383603481600.

The previous prime is 225441236631971. The next prime is 225441236632009. The reversal of 225441236632001 is 100236632144522.

It can be written as a sum of positive squares in 4 ways, for example, as 34964692479025 + 190476544152976 = 5913095^2 + 13801324^2 .

It is not a de Polignac number, because 225441236632001 - 2¹⁸ = 225441236369857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225441236632001.

It is not an unprimeable number, because it can be changed into a prime (225441236632009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279657361 + ... + 1279833521.

It is an arithmetic number, because the mean of its divisors is an integer number (10452961852263).

Almost surely, 2^{225441236632001} is an apocalyptic number.

It is an amenable number.

225441236632001 is a deficient number, since it is larger than the sum of its proper divisors (25429847822311).

225441236632001 is a wasteful number, since it uses less digits than its factorization.

225441236632001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278673 (or 278642 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 225441236632001 its reverse (100236632144522), we get a palindrome (325677868776523).

The spelling of 225441236632001 in words is "two hundred twenty-five trillion, four hundred forty-one billion, two hundred thirty-six million, six hundred thirty-two thousand, one".