1152118968 has 576 divisors, whose sum is σ = 4325944320. Its totient is φ = 251596800.

The previous prime is 1152118949. The next prime is 1152118993. The reversal of 1152118968 is 8698112511.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (34560) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37165113 + ... + 37165143.

It is an arithmetic number, because the mean of its divisors is an integer number (7510320).

Almost surely, 2^1152118968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152118968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162972160).

1152118968 is an abundant number, since it is smaller than the sum of its proper divisors (3173825352).

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

1152118968 is a wasteful number, since it uses less digits than its factorization.

1152118968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 34560, while the sum is 42.

The square root of 1152118968 is about 33942.8780158666. The cubic root of 1152118968 is about 1048.3326425944.

The spelling of 1152118968 in words is "one billion, one hundred fifty-two million, one hundred eighteen thousand, nine hundred sixty-eight".