1158561792 has 210 divisors, whose sum is σ = 3509804438. Its totient is φ = 382205952.

The previous prime is 1158561787. The next prime is 1158561793. The reversal of 1158561792 is 2971658511.

1158561792 is a `hidden beast` number, since 1 + 1 + 585 + 61 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 191102976 = 31104^2 + 13824^2 .

It is not an unprimeable number, because it can be changed into a prime (1158561793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11943888 + ... + 11943984.

Almost surely, 2^1158561792 is an apocalyptic number.

1158561792 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 1158561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754902219).

1158561792 is an abundant number, since it is smaller than the sum of its proper divisors (2351242646).

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

1158561792 is an frugal number, since it uses more digits than its factorization.

1158561792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 1158561792 is about 34037.6525630073. The cubic root of 1158561792 is about 1050.2831562867.

The spelling of 1158561792 in words is "one billion, one hundred fifty-eight million, five hundred sixty-one thousand, seven hundred ninety-two".