1148868864 has 324 divisors, whose sum is σ = 3933426588. Its totient is φ = 320348160.

The previous prime is 1148868811. The next prime is 1148868881. The reversal of 1148868864 is 4688688411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 1037355264 = 10560^2 + 32208^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1148868864.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3624034 + ... + 3624350.

Almost surely, 2^1148868864 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 1148868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966713294).

1148868864 is an abundant number, since it is smaller than the sum of its proper divisors (2784557724).

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

1148868864 is a wasteful number, since it uses less digits than its factorization.

1148868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 1148868864 is about 33894.9681221269. The cubic root of 1148868864 is about 1047.3459392211.

The spelling of 1148868864 in words is "one billion, one hundred forty-eight million, eight hundred sixty-eight thousand, eight hundred sixty-four".