1151095968 has 192 divisors, whose sum is σ = 3781693440. Its totient is φ = 337478400.

The previous prime is 1151095963. The next prime is 1151095997. The reversal of 1151095968 is 8695901511.

1151095968 is a `hidden beast` number, since 1 + 1 + 51 + 0 + 9 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1151095961) 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 31 ways as a sum of consecutive naturals, for example, 292671 + ... + 296577.

It is an arithmetic number, because the mean of its divisors is an integer number (19696320).

Almost surely, 2^1151095968 is an apocalyptic number.

1151095968 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 1151095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890846720).

1151095968 is an abundant number, since it is smaller than the sum of its proper divisors (2630597472).

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

1151095968 is a wasteful number, since it uses less digits than its factorization.

1151095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The square root of 1151095968 is about 33927.8052340554. The cubic root of 1151095968 is about 1048.0222690138.

The spelling of 1151095968 in words is "one billion, one hundred fifty-one million, ninety-five thousand, nine hundred sixty-eight".