1158112400 has 30 divisors (see below), whose sum is σ = 2782366002. Its totient is φ = 463244800.

The previous prime is 1158112393. The next prime is 1158112409. The reversal of 1158112400 is 42118511.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 1157088256 = 1012^2 + 34016^2 .

It is not an unprimeable number, because it can be changed into a prime (1158112409) 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 5 ways as a sum of consecutive naturals, for example, 1447241 + ... + 1448040.

Almost surely, 2^1158112400 is an apocalyptic number.

1158112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1158112400 is an abundant number, since it is smaller than the sum of its proper divisors (1624253602).

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

1158112400 is a wasteful number, since it uses less digits than its factorization.

1158112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895299 (or 2895288 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 1158112400 is about 34031.0505274227. The cubic root of 1158112400 is about 1050.1473413793.

The spelling of 1158112400 in words is "one billion, one hundred fifty-eight million, one hundred twelve thousand, four hundred".