1448116128 has 36 divisors (see below), whose sum is σ = 4118081058. Its totient is φ = 482705280.

The previous prime is 1448116127. The next prime is 1448116129. The reversal of 1448116128 is 8216118441.

1448116128 is a `hidden beast` number, since 14 + 481 + 161 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1448116127) and next prime (1448116129).

It can be written as a sum of positive squares in only one way, i.e., 1185287184 + 262828944 = 34428^2 + 16212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1448116092 and 1448116101.

It is not an unprimeable number, because it can be changed into a prime (1448116127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2513803 + ... + 2514378.

Almost surely, 2^1448116128 is an apocalyptic number.

1448116128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1448116128 is an abundant number, since it is smaller than the sum of its proper divisors (2669964930).

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

1448116128 is a wasteful number, since it uses less digits than its factorization.

1448116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028197 (or 5028186 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1448116128 is about 38054.1210383317. The cubic root of 1448116128 is about 1131.3608081765.

The spelling of 1448116128 in words is "one billion, four hundred forty-eight million, one hundred sixteen thousand, one hundred twenty-eight".