1122609746304 has 640 divisors, whose sum is σ = 3503195736480. Its totient is φ = 356606115840.

The previous prime is 1122609746299. The next prime is 1122609746311. The reversal of 1122609746304 is 4036479062211.

1122609746304 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 0 + 9 + 7 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1122609746304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3586612452 + ... + 3586612764.

Almost surely, 2^{1122609746304} 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 1122609746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751597868240).

1122609746304 is an abundant number, since it is smaller than the sum of its proper divisors (2380585990176).

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

1122609746304 is a wasteful number, since it uses less digits than its factorization.

1122609746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1122609746304 in words is "one trillion, one hundred twenty-two billion, six hundred nine million, seven hundred forty-six thousand, three hundred four".