1148461056 has 168 divisors, whose sum is σ = 3415331244. Its totient is φ = 371589120.

The previous prime is 1148461049. The next prime is 1148461057. The reversal of 1148461056 is 6501648411.

1148461056 is a `hidden beast` number, since 1 + 148 + 461 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1128960000 + 19501056 = 33600^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1148461056.

It is not an unprimeable number, because it can be changed into a prime (1148461057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2727726 + ... + 2728146.

Almost surely, 2^1148461056 is an apocalyptic number.

1148461056 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 1148461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707665622).

1148461056 is an abundant number, since it is smaller than the sum of its proper divisors (2266870188).

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

1148461056 is an equidigital number, since it uses as much as digits as its factorization.

1148461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1148461056 is about 33888.9518279926. The cubic root of 1148461056 is about 1047.2220009100. Note that the first 3 decimals are identical.

The spelling of 1148461056 in words is "one billion, one hundred forty-eight million, four hundred sixty-one thousand, fifty-six".