1148064768 has 132 divisors (see below), whose sum is σ = 3333826080. Its totient is φ = 380522496.

The previous prime is 1148064761. The next prime is 1148064787. The reversal of 1148064768 is 8674608411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148064761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3197773 + ... + 3198131.

Almost surely, 2^1148064768 is an apocalyptic number.

1148064768 is a gapful number since it is divisible by the number (18) 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 1148064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666913040).

1148064768 is an abundant number, since it is smaller than the sum of its proper divisors (2185761312).

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

1148064768 is a wasteful number, since it uses less digits than its factorization.

1148064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1148064768 is about 33883.1044622538. The cubic root of 1148064768 is about 1047.1015355700.

The spelling of 1148064768 in words is "one billion, one hundred forty-eight million, sixty-four thousand, seven hundred sixty-eight".