1151159688 has 320 divisors, whose sum is σ = 3994742400. Its totient is φ = 303170688.

The previous prime is 1151159599. The next prime is 1151159689. The reversal of 1151159688 is 8869511511.

1151159688 is a `hidden beast` number, since 1 + 1 + 51 + 1 + 596 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1151159689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31112406 + ... + 31112442.

It is an arithmetic number, because the mean of its divisors is an integer number (12483570).

Almost surely, 2^1151159688 is an apocalyptic number.

1151159688 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 1151159688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997371200).

1151159688 is an abundant number, since it is smaller than the sum of its proper divisors (2843582712).

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

1151159688 is an equidigital number, since it uses as much as digits as its factorization.

1151159688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 68 counting only the distinct ones).

The product of its digits is 86400, while the sum is 45.

The square root of 1151159688 is about 33928.7442738454. The cubic root of 1151159688 is about 1048.0416067431.

The spelling of 1151159688 in words is "one billion, one hundred fifty-one million, one hundred fifty-nine thousand, six hundred eighty-eight".