225590801296 has 45 divisors (see below), whose sum is σ = 508472508411. Its totient is φ = 96676072416.

The previous prime is 225590801291. The next prime is 225590801297. The reversal of 225590801296 is 692108095522.

The square root of 225590801296 is 474964.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (225590801291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13290511 + ... + 13307473.

Almost surely, 2^225590801296 is an apocalyptic number.

225590801296 is the 474964-th square number.

It is an amenable number.

225590801296 is an abundant number, since it is smaller than the sum of its proper divisors (282881707115).

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

225590801296 is an frugal number, since it uses more digits than its factorization.

225590801296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33948 (or 16972 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 225590801296 by its sum of digits (49), we get a square (11053949263504 = 3324748²).

225590801296 divided by its sum of digits (49) gives a square (4603893904 = 67852²).

The spelling of 225590801296 in words is "two hundred twenty-five billion, five hundred ninety million, eight hundred one thousand, two hundred ninety-six".