1158288768 has 512 divisors, whose sum is σ = 4386816000. Its totient is φ = 292626432.

The previous prime is 1158288707. The next prime is 1158288949. The reversal of 1158288768 is 8678828511.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9120321 + ... + 9120447.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^1158288768 is an apocalyptic number.

1158288768 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 1158288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408000).

1158288768 is an abundant number, since it is smaller than the sum of its proper divisors (3228527232).

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

1158288768 is a wasteful number, since it uses less digits than its factorization.

1158288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The square root of 1158288768 is about 34033.6417093440. The cubic root of 1158288768 is about 1050.2006473696.

The spelling of 1158288768 in words is "one billion, one hundred fifty-eight million, two hundred eighty-eight thousand, seven hundred sixty-eight".