1138027427648 has 112 divisors (see below), whose sum is σ = 2459486405376. Its totient is φ = 520978698240.

The previous prime is 1138027427573. The next prime is 1138027427729. The reversal of 1138027427648 is 8467247208311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 1138027427648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3020765 + ... + 3376547.

It is an arithmetic number, because the mean of its divisors is an integer number (21959700048).

Almost surely, 2^{1138027427648} 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 1138027427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229743202688).

1138027427648 is an abundant number, since it is smaller than the sum of its proper divisors (1321458977728).

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

1138027427648 is a wasteful number, since it uses less digits than its factorization.

1138027427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355912 (or 355902 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 1138027427648 in words is "one trillion, one hundred thirty-eight billion, twenty-seven million, four hundred twenty-seven thousand, six hundred forty-eight".