1448116416 has 42 divisors (see below), whose sum is σ = 4150765892. Its totient is φ = 482705280.

The previous prime is 1448116381. The next prime is 1448116427. The reversal of 1448116416 is 6146118441.

It is a happy number.

1448116416 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 1 + 1 + 641 + 6 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1256470 + ... + 1257621.

Almost surely, 2^1448116416 is an apocalyptic number.

1448116416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1448116416 is an abundant number, since it is smaller than the sum of its proper divisors (2702649476).

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

1448116416 is a wasteful number, since it uses less digits than its factorization.

1448116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514109 (or 2514096 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1448116416 is about 38054.1248224158. The cubic root of 1448116416 is about 1131.3608831778.

The spelling of 1448116416 in words is "one billion, four hundred forty-eight million, one hundred sixteen thousand, four hundred sixteen".