1138814688 has 192 divisors, whose sum is σ = 3459697920. Its totient is φ = 324710400.

The previous prime is 1138814687. The next prime is 1138814707. The reversal of 1138814688 is 8864188311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138814687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255131 + ... + 1256037.

It is an arithmetic number, because the mean of its divisors is an integer number (18019260).

Almost surely, 2^1138814688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138814688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729848960).

1138814688 is an abundant number, since it is smaller than the sum of its proper divisors (2320883232).

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

1138814688 is a wasteful number, since it uses less digits than its factorization.

1138814688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 1138814688 is about 33746.3285114099. The cubic root of 1138814688 is about 1044.2817460098.

The spelling of 1138814688 in words is "one billion, one hundred thirty-eight million, eight hundred fourteen thousand, six hundred eighty-eight".