1138938624 has 144 divisors (see below), whose sum is σ = 3432693600. Its totient is φ = 372363264.

The previous prime is 1138938623. The next prime is 1138938637. The reversal of 1138938624 is 4268398311.

1138938624 is a `hidden beast` number, since 1 + 13 + 8 + 9 + 3 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1138938624.

It is not an unprimeable number, because it can be changed into a prime (1138938623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364782 + ... + 367890.

It is an arithmetic number, because the mean of its divisors is an integer number (23838150).

Almost surely, 2^1138938624 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 1138938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716346800).

1138938624 is an abundant number, since it is smaller than the sum of its proper divisors (2293754976).

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

1138938624 is an equidigital number, since it uses as much as digits as its factorization.

1138938624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3167 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1138938624 is about 33748.1647501016. The cubic root of 1138938624 is about 1044.3196273289.

The spelling of 1138938624 in words is "one billion, one hundred thirty-eight million, nine hundred thirty-eight thousand, six hundred twenty-four".