1146008992 has 48 divisors (see below), whose sum is σ = 2392008192. Its totient is φ = 539516160.

The previous prime is 1146008951. The next prime is 1146008993. The reversal of 1146008992 is 2998006411.

It is not an unprimeable number, because it can be changed into a prime (1146008993) 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 7 ways as a sum of consecutive naturals, for example, 21093 + ... + 52315.

It is an arithmetic number, because the mean of its divisors is an integer number (49833504).

Almost surely, 2^1146008992 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 1146008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196004096).

1146008992 is an abundant number, since it is smaller than the sum of its proper divisors (1245999200).

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

1146008992 is a wasteful number, since it uses less digits than its factorization.

1146008992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31301 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1146008992 is about 33852.7545703448. The cubic root of 1146008992 is about 1046.4761665731.

The spelling of 1146008992 in words is "one billion, one hundred forty-six million, eight thousand, nine hundred ninety-two".