1338415648 has 24 divisors (see below), whose sum is σ = 2635960320. Its totient is φ = 668965440.

The previous prime is 1338415643. The next prime is 1338415667. The reversal of 1338415648 is 8465148331.

It is a super-3 number, since 3×1338415648³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1338415643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110433 + ... + 121951.

It is an arithmetic number, because the mean of its divisors is an integer number (109831680).

Almost surely, 2^1338415648 is an apocalyptic number.

It is an amenable number.

1338415648 is a deficient number, since it is larger than the sum of its proper divisors (1297544672).

1338415648 is a wasteful number, since it uses less digits than its factorization.

1338415648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15160 (or 15152 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 1338415648 is about 36584.3634357631. The cubic root of 1338415648 is about 1102.0390959809.

The spelling of 1338415648 in words is "one billion, three hundred thirty-eight million, four hundred fifteen thousand, six hundred forty-eight".