1138645984 has 72 divisors (see below), whose sum is σ = 2704081968. Its totient is φ = 462274560.

The previous prime is 1138645933. The next prime is 1138645993. The reversal of 1138645984 is 4895468311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 73824 + ... + 87904.

It is an arithmetic number, because the mean of its divisors is an integer number (37556694).

Almost surely, 2^1138645984 is an apocalyptic number.

1138645984 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 1138645984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352040984).

1138645984 is an abundant number, since it is smaller than the sum of its proper divisors (1565435984).

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

1138645984 is a wasteful number, since it uses less digits than its factorization.

1138645984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14136 (or 14109 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 1138645984 is about 33743.8288283947. The cubic root of 1138645984 is about 1044.2301768331.

The spelling of 1138645984 in words is "one billion, one hundred thirty-eight million, six hundred forty-five thousand, nine hundred eighty-four".