225552098265664 has 21 divisors (see below), whose sum is σ = 447580183413027. Its totient is φ = 112775989059264.

The previous prime is 225552098265649. The next prime is 225552098265727. The reversal of 225552098265664 is 466562890255522.

The square root of 225552098265664 is 15018392.

It is a perfect power (a square), and thus also a powerful number.

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 225552098265664.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 119208487 + ... + 121085785.

It is an arithmetic number, because the mean of its divisors is an integer number (21313342067287).

Almost surely, 2^{225552098265664} is an apocalyptic number.

225552098265664 is the 15018392-nd square number.

It is an amenable number.

225552098265664 is a deficient number, since it is larger than the sum of its proper divisors (222028085147363).

225552098265664 is an frugal number, since it uses more digits than its factorization.

225552098265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754610 (or 1877301 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 67.

The spelling of 225552098265664 in words is "two hundred twenty-five trillion, five hundred fifty-two billion, ninety-eight million, two hundred sixty-five thousand, six hundred sixty-four".