1138644000 has 384 divisors, whose sum is σ = 4468988160. Its totient is φ = 279936000.

The previous prime is 1138643993. The next prime is 1138644007. The reversal of 1138644000 is 4468311.

1138644000 is a `hidden beast` number, since 1 + 13 + 8 + 644 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1138643993) and next prime (1138644007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1138644007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403595 + ... + 1404405.

It is an arithmetic number, because the mean of its divisors is an integer number (11637990).

Almost surely, 2^1138644000 is an apocalyptic number.

1138644000 is a gapful number since it is divisible by the number (10) 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 1138644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234494080).

1138644000 is an abundant number, since it is smaller than the sum of its proper divisors (3330344160).

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

1138644000 is a wasteful number, since it uses less digits than its factorization.

1138644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1138644000 is about 33743.7994304139. The cubic root of 1138644000 is about 1044.2295703367.

The spelling of 1138644000 in words is "one billion, one hundred thirty-eight million, six hundred forty-four thousand".