225661165434 has 160 divisors (see below), whose sum is σ = 540779976000. Its totient is φ = 70086643200.

The previous prime is 225661165427. The next prime is 225661165439. The reversal of 225661165434 is 434561166522.

225661165434 is a `hidden beast` number, since 2 + 2 + 56 + 6 + 1 + 165 + 434 = 666.

It is a super-2 number, since 2×225661165434² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225661165434.

It is not an unprimeable number, because it can be changed into a prime (225661165439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155520409 + ... + 155521859.

It is an arithmetic number, because the mean of its divisors is an integer number (3379874850).

Almost surely, 2^225661165434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225661165434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270389988000).

225661165434 is an abundant number, since it is smaller than the sum of its proper divisors (315118810566).

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

225661165434 is a wasteful number, since it uses less digits than its factorization.

225661165434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2001 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 225661165434 in words is "two hundred twenty-five billion, six hundred sixty-one million, one hundred sixty-five thousand, four hundred thirty-four".