1338114048 has 144 divisors (see below), whose sum is σ = 3699362016. Its totient is φ = 429916160.

The previous prime is 1338114031. The next prime is 1338114059. The reversal of 1338114048 is 8404118331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16121815 + ... + 16121897.

It is an arithmetic number, because the mean of its divisors is an integer number (25690014).

Almost surely, 2^1338114048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849681008).

1338114048 is an abundant number, since it is smaller than the sum of its proper divisors (2361247968).

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

1338114048 is an frugal number, since it uses more digits than its factorization.

1338114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1338114048 is about 36580.2412239176. The cubic root of 1338114048 is about 1101.9563115432.

The spelling of 1338114048 in words is "one billion, three hundred thirty-eight million, one hundred fourteen thousand, forty-eight".