225491849856 has 768 divisors, whose sum is σ = 854039047680. Its totient is φ = 55472947200.

The previous prime is 225491849839. The next prime is 225491849867. The reversal of 225491849856 is 658948194522.

225491849856 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 91 + 8 + 498 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 225491849793 and 225491849802.

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, 98855436 + ... + 98857716.

It is an arithmetic number, because the mean of its divisors is an integer number (1112030010).

Almost surely, 2^225491849856 is an apocalyptic number.

225491849856 is a gapful number since it is divisible by the number (26) 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 225491849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427019523840).

225491849856 is an abundant number, since it is smaller than the sum of its proper divisors (628547197824).

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

225491849856 is a wasteful number, since it uses less digits than its factorization.

225491849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2370 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 225491849856 in words is "two hundred twenty-five billion, four hundred ninety-one million, eight hundred forty-nine thousand, eight hundred fifty-six".