1225851808896 has 512 divisors, whose sum is σ = 4284164505600. Its totient is φ = 340178227200.

The previous prime is 1225851808871. The next prime is 1225851808901. The reversal of 1225851808896 is 6988081585221.

1225851808896 is a `hidden beast` number, since 1 + 2 + 25 + 8 + 518 + 0 + 8 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62754651 + ... + 62774181.

It is an arithmetic number, because the mean of its divisors is an integer number (8367508800).

Almost surely, 2^{1225851808896} is an apocalyptic number.

1225851808896 is a gapful number since it is divisible by the number (16) 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 1225851808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142082252800).

1225851808896 is an abundant number, since it is smaller than the sum of its proper divisors (3058312696704).

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

1225851808896 is a wasteful number, since it uses less digits than its factorization.

1225851808896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19705 (or 19687 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 1225851808896 in words is "one trillion, two hundred twenty-five billion, eight hundred fifty-one million, eight hundred eight thousand, eight hundred ninety-six".