1138088448 has 320 divisors, whose sum is σ = 4059264000. Its totient is φ = 307556352.

The previous prime is 1138088381. The next prime is 1138088453. The reversal of 1138088448 is 8448808311.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1838283 + ... + 1838901.

It is an arithmetic number, because the mean of its divisors is an integer number (12685200).

Almost surely, 2^1138088448 is an apocalyptic number.

1138088448 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 1138088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029632000).

1138088448 is an abundant number, since it is smaller than the sum of its proper divisors (2921175552).

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

1138088448 is an equidigital number, since it uses as much as digits as its factorization.

1138088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1138088448 is about 33735.5665136959. The cubic root of 1138088448 is about 1044.0597138523.

The spelling of 1138088448 in words is "one billion, one hundred thirty-eight million, eighty-eight thousand, four hundred forty-eight".