225812240633520 has 400 divisors, whose sum is σ = 816078787793280. Its totient is φ = 57823400613888.

The previous prime is 225812240633519. The next prime is 225812240633537. The reversal of 225812240633520 is 25336042218522.

225812240633520 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 1 + 2 + 2 + 4 + 0 + 633 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 9146986 + ... + 23136374.

Almost surely, 2^{225812240633520} is an apocalyptic number.

225812240633520 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 225812240633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408039393896640).

225812240633520 is an abundant number, since it is smaller than the sum of its proper divisors (590266547159760).

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

225812240633520 is a wasteful number, since it uses less digits than its factorization.

225812240633520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13989514 (or 13989499 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 225812240633520 in words is "two hundred twenty-five trillion, eight hundred twelve billion, two hundred forty million, six hundred thirty-three thousand, five hundred twenty".