225867450893500 has 192 divisors, whose sum is σ = 532263787735680. Its totient is φ = 83236613990400.

The previous prime is 225867450893489. The next prime is 225867450893501. The reversal of 225867450893500 is 5398054768522.

It is a super-2 number, since 2×225867450893500² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225867450893501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18842694507 + ... + 18842706493.

It is an arithmetic number, because the mean of its divisors is an integer number (2772207227790).

Almost surely, 2^{225867450893500} is an apocalyptic number.

225867450893500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225867450893500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266131893867840).

225867450893500 is an abundant number, since it is smaller than the sum of its proper divisors (306396336842180).

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

225867450893500 is a wasteful number, since it uses less digits than its factorization.

225867450893500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 64.

The spelling of 225867450893500 in words is "two hundred twenty-five trillion, eight hundred sixty-seven billion, four hundred fifty million, eight hundred ninety-three thousand, five hundred".