1381165344 has 216 divisors, whose sum is σ = 4414776912. Its totient is φ = 424569600.

The previous prime is 1381165337. The next prime is 1381165349. The reversal of 1381165344 is 4435611831.

1381165344 is a `hidden beast` number, since 1 + 3 + 8 + 116 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 1381165299 and 1381165308.

It is not an unprimeable number, because it can be changed into a prime (1381165349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1313619 + ... + 1314669.

It is an arithmetic number, because the mean of its divisors is an integer number (20438782).

Almost surely, 2^1381165344 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 1381165344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207388456).

1381165344 is an abundant number, since it is smaller than the sum of its proper divisors (3033611568).

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

1381165344 is a wasteful number, since it uses less digits than its factorization.

1381165344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1069 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1381165344 is about 37164.0329350839. The cubic root of 1381165344 is about 1113.6495797634.

The spelling of 1381165344 in words is "one billion, three hundred eighty-one million, one hundred sixty-five thousand, three hundred forty-four".