1148916384 has 288 divisors, whose sum is σ = 4121155584. Its totient is φ = 294935040.

The previous prime is 1148916371. The next prime is 1148916407. The reversal of 1148916384 is 4836198411.

1148916384 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 9 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1148916384³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

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, 2283877 + ... + 2284379.

It is an arithmetic number, because the mean of its divisors is an integer number (14309568).

Almost surely, 2^1148916384 is an apocalyptic number.

1148916384 is a gapful number since it is divisible by the number (14) 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 1148916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060577792).

1148916384 is an abundant number, since it is smaller than the sum of its proper divisors (2972239200).

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

1148916384 is a wasteful number, since it uses less digits than its factorization.

1148916384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1148916384 is about 33895.6691038841. The cubic root of 1148916384 is about 1047.3603792772.

The spelling of 1148916384 in words is "one billion, one hundred forty-eight million, nine hundred sixteen thousand, three hundred eighty-four".