1138748416 has 88 divisors (see below), whose sum is σ = 2473987824. Its totient is φ = 520765440.

The previous prime is 1138748393. The next prime is 1138748419. The reversal of 1138748416 is 6148478311.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1138748419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743546 + ... + 1744198.

It is an arithmetic number, because the mean of its divisors is an integer number (28113498).

Almost surely, 2^1138748416 is an apocalyptic number.

1138748416 is a gapful number since it is divisible by the number (16) 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 1138748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236993912).

1138748416 is an abundant number, since it is smaller than the sum of its proper divisors (1335239408).

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

1138748416 is a wasteful number, since it uses less digits than its factorization.

1138748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 1138748416 is about 33745.3465828994. The cubic root of 1138748416 is about 1044.2614886952.

The spelling of 1138748416 in words is "one billion, one hundred thirty-eight million, seven hundred forty-eight thousand, four hundred sixteen".