1138268083008 has 224 divisors, whose sum is σ = 3563621625600. Its totient is φ = 313737854976.

The previous prime is 1138268082983. The next prime is 1138268083021. The reversal of 1138268083008 is 8003808628311.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48201508 + ... + 48225116.

Almost surely, 2^{1138268083008} 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 1138268083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781810812800).

1138268083008 is an abundant number, since it is smaller than the sum of its proper divisors (2425353542592).

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

1138268083008 is a wasteful number, since it uses less digits than its factorization.

1138268083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24897 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1138268083008 in words is "one trillion, one hundred thirty-eight billion, two hundred sixty-eight million, eighty-three thousand, eight".