1123064064 has 216 divisors, whose sum is σ = 3499691832. Its totient is φ = 345047040.

The previous prime is 1123064057. The next prime is 1123064069. The reversal of 1123064064 is 4604603211.

1123064064 is a `hidden beast` number, since 1 + 12 + 3 + 0 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 361304064 + 761760000 = 19008^2 + 27600^2 .

It is a super-4 number, since 4×1123064064⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1123064069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2075634 + ... + 2076174.

It is an arithmetic number, because the mean of its divisors is an integer number (16202277).

Almost surely, 2^1123064064 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 1123064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749845916).

1123064064 is an abundant number, since it is smaller than the sum of its proper divisors (2376627768).

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

1123064064 is a wasteful number, since it uses less digits than its factorization.

1123064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1123064064 is about 33512.1480063573. The cubic root of 1123064064 is about 1039.4449898600. Note that the first 3 decimals are identical.

Adding to 1123064064 its reverse (4604603211), we get a palindrome (5727667275).

The spelling of 1123064064 in words is "one billion, one hundred twenty-three million, sixty-four thousand, sixty-four".