1148560000 has 240 divisors, whose sum is σ = 3337439490. Its totient is φ = 392448000.

The previous prime is 1148559977. The next prime is 1148560111. The reversal of 1148560000 is 658411.

It can be written as a sum of positive squares in 5 ways, for example, as 161594944 + 986965056 = 12712^2 + 31416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 29 ways as a sum of consecutive naturals, for example, 3919854 + ... + 3920146.

Almost surely, 2^1148560000 is an apocalyptic number.

1148560000 is a gapful number since it is divisible by the number (10) 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 1148560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668719745).

1148560000 is an abundant number, since it is smaller than the sum of its proper divisors (2188879490).

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

1148560000 is an frugal number, since it uses more digits than its factorization.

1148560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1148560000 is about 33890.4116233486. The cubic root of 1148560000 is about 1047.2520740117.

The spelling of 1148560000 in words is "one billion, one hundred forty-eight million, five hundred sixty thousand".