1225890422784 has 560 divisors, whose sum is σ = 3766610287440. Its totient is φ = 397175685120.

The previous prime is 1225890422767. The next prime is 1225890422807. The reversal of 1225890422784 is 4872240985221.

1225890422784 is a `hidden beast` number, since 1 + 2 + 2 + 58 + 90 + 422 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1225890422784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6772875174 + ... + 6772875354.

It is an arithmetic number, because the mean of its divisors is an integer number (6726089799).

Almost surely, 2^{1225890422784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225890422784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883305143720).

1225890422784 is an abundant number, since it is smaller than the sum of its proper divisors (2540719864656).

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

1225890422784 is an equidigital number, since it uses as much as digits as its factorization.

1225890422784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1225890422784 in words is "one trillion, two hundred twenty-five billion, eight hundred ninety million, four hundred twenty-two thousand, seven hundred eighty-four".