225867450893490 has 192 divisors, whose sum is σ = 676726234689024. Its totient is φ = 51198583901184.

The previous prime is 225867450893489. The next prime is 225867450893501. The reversal of 225867450893490 is 94398054768522.

225867450893490 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 6 + 7 + 4 + 50 + 89 + 3 + 490 = 666.

It is a super-2 number, since 2×225867450893490² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84738667 + ... + 87363473.

It is an arithmetic number, because the mean of its divisors is an integer number (3524615805672).

Almost surely, 2^{225867450893490} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225867450893490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338363117344512).

225867450893490 is an abundant number, since it is smaller than the sum of its proper divisors (450858783795534).

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

225867450893490 is a wasteful number, since it uses less digits than its factorization.

225867450893490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625961 (or 2625958 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 225867450893490 in words is "two hundred twenty-five trillion, eight hundred sixty-seven billion, four hundred fifty million, eight hundred ninety-three thousand, four hundred ninety".