1381182912 has 168 divisors, whose sum is σ = 4057497600. Its totient is φ = 449100288.

The previous prime is 1381182893. The next prime is 1381182917. The reversal of 1381182912 is 2192811831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381182917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5778889 + ... + 5779127.

Almost surely, 2^1381182912 is an apocalyptic number.

1381182912 is a gapful number since it is divisible by the number (12) 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 1381182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028748800).

1381182912 is an abundant number, since it is smaller than the sum of its proper divisors (2676314688).

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

1381182912 is a wasteful number, since it uses less digits than its factorization.

1381182912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1381182912 is about 37164.2692918884. The cubic root of 1381182912 is about 1113.6543015039.

The spelling of 1381182912 in words is "one billion, three hundred eighty-one million, one hundred eighty-two thousand, nine hundred twelve".