1152966816 has 144 divisors (see below), whose sum is σ = 3601765440. Its totient is φ = 348226560.

The previous prime is 1152966811. The next prime is 1152966847. The reversal of 1152966816 is 6186692511.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1152966811) 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 23 ways as a sum of consecutive naturals, for example, 121276 + ... + 130436.

It is an arithmetic number, because the mean of its divisors is an integer number (25012260).

Almost surely, 2^1152966816 is an apocalyptic number.

1152966816 is a gapful number since it is divisible by the number (16) 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 1152966816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800882720).

1152966816 is an abundant number, since it is smaller than the sum of its proper divisors (2448798624).

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

1152966816 is a wasteful number, since it uses less digits than its factorization.

1152966816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9208 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1152966816 is about 33955.3650547303. The cubic root of 1152966816 is about 1048.5897366440.

The spelling of 1152966816 in words is "one billion, one hundred fifty-two million, nine hundred sixty-six thousand, eight hundred sixteen".