1123258752 has 576 divisors, whose sum is σ = 4317243840. Its totient is φ = 287400960.

The previous prime is 1123258693. The next prime is 1123258757. The reversal of 1123258752 is 2578523211.

1123258752 is a `hidden beast` number, since 1 + 1 + 23 + 2 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123258757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16765023 + ... + 16765089.

It is an arithmetic number, because the mean of its divisors is an integer number (7495215).

Almost surely, 2^1123258752 is an apocalyptic number.

1123258752 is a gapful number since it is divisible by the number (12) 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 1123258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158621920).

1123258752 is an abundant number, since it is smaller than the sum of its proper divisors (3193985088).

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

1123258752 is an equidigital number, since it uses as much as digits as its factorization.

1123258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1123258752 is about 33515.0526181893. The cubic root of 1123258752 is about 1039.5050504805.

The spelling of 1123258752 in words is "one billion, one hundred twenty-three million, two hundred fifty-eight thousand, seven hundred fifty-two".