1118432448 has 560 divisors, whose sum is σ = 4204411200. Its totient is φ = 292626432.

The previous prime is 1118432443. The next prime is 1118432449. The reversal of 1118432448 is 8442348111.

It is a happy number.

1118432448 is a `hidden beast` number, since 1 + 1 + 184 + 32 + 448 = 666.

It is a super-2 number, since 2×1118432448² = 2501782281478545408, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (1118432443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30227886 + ... + 30227922.

Almost surely, 2^1118432448 is an apocalyptic number.

1118432448 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 1118432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102205600).

1118432448 is an abundant number, since it is smaller than the sum of its proper divisors (3085978752).

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

1118432448 is an equidigital number, since it uses as much as digits as its factorization.

1118432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1118432448 is about 33442.9730735771. The cubic root of 1118432448 is about 1038.0140998452.

The spelling of 1118432448 in words is "one billion, one hundred eighteen million, four hundred thirty-two thousand, four hundred forty-eight".