1158538304 has 112 divisors (see below), whose sum is σ = 3035076480. Its totient is φ = 424796160.

The previous prime is 1158538301. The next prime is 1158538307. The reversal of 1158538304 is 4038358511.

It is an interprime number because it is at equal distance from previous prime (1158538301) and next prime (1158538307).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1158538304² = 2684422003670392832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1158538301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76862 + ... + 90690.

Almost surely, 2^1158538304 is an apocalyptic number.

1158538304 is a gapful number since it is divisible by the number (14) 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 1158538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517538240).

1158538304 is an abundant number, since it is smaller than the sum of its proper divisors (1876538176).

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

1158538304 is a wasteful number, since it uses less digits than its factorization.

1158538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 1158538304 is about 34037.3075315895. The cubic root of 1158538304 is about 1050.2760586312.

The spelling of 1158538304 in words is "one billion, one hundred fifty-eight million, five hundred thirty-eight thousand, three hundred four".