1233813168 has 160 divisors (see below), whose sum is σ = 4134021120. Its totient is φ = 344977920.

The previous prime is 1233813157. The next prime is 1233813179. The reversal of 1233813168 is 8613183321.

1233813168 is a `hidden beast` number, since 1 + 2 + 338 + 1 + 316 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1233813157) and next prime (1233813179).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137788 + ... + 146468.

It is an arithmetic number, because the mean of its divisors is an integer number (25837632).

Almost surely, 2^1233813168 is an apocalyptic number.

1233813168 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 1233813168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067010560).

1233813168 is an abundant number, since it is smaller than the sum of its proper divisors (2900207952).

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

1233813168 is a wasteful number, since it uses less digits than its factorization.

1233813168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8740 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1233813168 is about 35125.6767621636. The cubic root of 1233813168 is about 1072.5473322550.

Adding to 1233813168 its reverse (8613183321), we get a palindrome (9846996489).

The spelling of 1233813168 in words is "one billion, two hundred thirty-three million, eight hundred thirteen thousand, one hundred sixty-eight".