1138281984 has 240 divisors, whose sum is σ = 3896500608. Its totient is φ = 324974592.

The previous prime is 1138281967. The next prime is 1138282009. The reversal of 1138281984 is 4891828311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870259 + ... + 871565.

Almost surely, 2^1138281984 is an apocalyptic number.

1138281984 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 1138281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948250304).

1138281984 is an abundant number, since it is smaller than the sum of its proper divisors (2758218624).

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

1138281984 is an frugal number, since it uses more digits than its factorization.

1138281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1319 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 1138281984 is about 33738.4348184678. The cubic root of 1138281984 is about 1044.1188925240.

The spelling of 1138281984 in words is "one billion, one hundred thirty-eight million, two hundred eighty-one thousand, nine hundred eighty-four".