1146685056 has 384 divisors, whose sum is σ = 3711657600. Its totient is φ = 312238080.

The previous prime is 1146685021. The next prime is 1146685063. The reversal of 1146685056 is 6505866411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1146684999 and 1146685017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30991470 + ... + 30991506.

It is an arithmetic number, because the mean of its divisors is an integer number (9665775).

Almost surely, 2^1146685056 is an apocalyptic number.

1146685056 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 1146685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855828800).

1146685056 is an abundant number, since it is smaller than the sum of its proper divisors (2564972544).

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

1146685056 is a wasteful number, since it uses less digits than its factorization.

1146685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1146685056 is about 33862.7384598470. The cubic root of 1146685056 is about 1046.6819083522.

The spelling of 1146685056 in words is "one billion, one hundred forty-six million, six hundred eighty-five thousand, fifty-six".