1123365564288 has 1152 divisors, whose sum is σ = 3900756787200. Its totient is φ = 309115699200.

The previous prime is 1123365564283. The next prime is 1123365564301. The reversal of 1123365564288 is 8824655633211.

1123365564288 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 6 + 556 + 4 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123365564283) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845398081 + ... + 8845398207.

It is an arithmetic number, because the mean of its divisors is an integer number (3386073600).

Almost surely, 2^{1123365564288} is an apocalyptic number.

1123365564288 is a gapful number since it is divisible by the number (18) 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 1123365564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950378393600).

1123365564288 is an abundant number, since it is smaller than the sum of its proper divisors (2777391222912).

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

1123365564288 is a wasteful number, since it uses less digits than its factorization.

1123365564288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 286 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 1123365564288 in words is "one trillion, one hundred twenty-three billion, three hundred sixty-five million, five hundred sixty-four thousand, two hundred eighty-eight".