1381318848 has 504 divisors, whose sum is σ = 5213408928. Its totient is φ = 340402176.

The previous prime is 1381318837. The next prime is 1381318849. The reversal of 1381318848 is 8488131831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (1381318849) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18922140 + ... + 18922212.

Almost surely, 2^1381318848 is an apocalyptic number.

1381318848 is a gapful number since it is divisible by the number (18) 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 1381318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606704464).

1381318848 is an abundant number, since it is smaller than the sum of its proper divisors (3832090080).

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

1381318848 is a wasteful number, since it uses less digits than its factorization.

1381318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1381318848 is about 37166.0981002849. The cubic root of 1381318848 is about 1113.6908355849.

The spelling of 1381318848 in words is "one billion, three hundred eighty-one million, three hundred eighteen thousand, eight hundred forty-eight".