1338455664 has 420 divisors, whose sum is σ = 4861261776. Its totient is φ = 349360128.

The previous prime is 1338455663. The next prime is 1338455731. The reversal of 1338455664 is 4665548331.

1338455664 is a `hidden beast` number, since 1 + 3 + 3 + 84 + 5 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338455663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13798464 + ... + 13798560.

Almost surely, 2^1338455664 is an apocalyptic number.

1338455664 is a gapful number since it is divisible by the number (14) 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 1338455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430630888).

1338455664 is an abundant number, since it is smaller than the sum of its proper divisors (3522806112).

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

1338455664 is an equidigital number, since it uses as much as digits as its factorization.

1338455664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1338455664 is about 36584.9103319934. The cubic root of 1338455664 is about 1102.0500788065.

The spelling of 1338455664 in words is "one billion, three hundred thirty-eight million, four hundred fifty-five thousand, six hundred sixty-four".