1382352136704 has 1080 divisors, whose sum is σ = 5371674628320. Its totient is φ = 340027269120.

The previous prime is 1382352136703. The next prime is 1382352136721. The reversal of 1382352136704 is 4076312532831.

1382352136704 is a `hidden beast` number, since 1 + 3 + 8 + 23 + 521 + 36 + 70 + 4 = 666.

It is a super-2 number, since 2×1382352136704² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1382352136704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382352136703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 519094477 + ... + 519097139.

It is an arithmetic number, because the mean of its divisors is an integer number (4973772804).

Almost surely, 2^{1382352136704} is an apocalyptic number.

1382352136704 is a gapful number since it is divisible by the number (14) 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 1382352136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685837314160).

1382352136704 is an abundant number, since it is smaller than the sum of its proper divisors (3989322491616).

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

1382352136704 is a wasteful number, since it uses less digits than its factorization.

1382352136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1382352136704 in words is "one trillion, three hundred eighty-two billion, three hundred fifty-two million, one hundred thirty-six thousand, seven hundred four".