225301164265536 has 112 divisors (see below), whose sum is σ = 597704808265920. Its totient is φ = 74899442534400.

The previous prime is 225301164265493. The next prime is 225301164265591. The reversal of 225301164265536 is 635562461103522.

It is a super-2 number, since 2×225301164265536² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 491491930 + ... + 491950118.

Almost surely, 2^{225301164265536} 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 225301164265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298852404132960).

225301164265536 is an abundant number, since it is smaller than the sum of its proper divisors (372403644000384).

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

225301164265536 is a wasteful number, since it uses less digits than its factorization.

225301164265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465052 (or 465042 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 225301164265536 in words is "two hundred twenty-five trillion, three hundred one billion, one hundred sixty-four million, two hundred sixty-five thousand, five hundred thirty-six".