1138653071808 has 448 divisors, whose sum is σ = 3674824857600. Its totient is φ = 310444130304.

The previous prime is 1138653071683. The next prime is 1138653071827. The reversal of 1138653071808 is 8081703568311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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, 1019384466 + ... + 1019385582.

Almost surely, 2^{1138653071808} 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 1138653071808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837412428800).

1138653071808 is an abundant number, since it is smaller than the sum of its proper divisors (2536171785792).

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

1138653071808 is a wasteful number, since it uses less digits than its factorization.

1138653071808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 1138653071808 in words is "one trillion, one hundred thirty-eight billion, six hundred fifty-three million, seventy-one thousand, eight hundred eight".