1338978816 has 320 divisors, whose sum is σ = 4607919360. Its totient is φ = 376012800.

The previous prime is 1338978737. The next prime is 1338978841. The reversal of 1338978816 is 6188798331.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9773500 + ... + 9773636.

It is an arithmetic number, because the mean of its divisors is an integer number (14399748).

Almost surely, 2^1338978816 is an apocalyptic number.

1338978816 is a gapful number since it is divisible by the number (16) 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 1338978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303959680).

1338978816 is an abundant number, since it is smaller than the sum of its proper divisors (3268940544).

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

1338978816 is a wasteful number, since it uses less digits than its factorization.

1338978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1338978816 is about 36592.0594665017. The cubic root of 1338978816 is about 1102.1936434183.

The spelling of 1338978816 in words is "one billion, three hundred thirty-eight million, nine hundred seventy-eight thousand, eight hundred sixteen".