1382187663360 has 576 divisors, whose sum is σ = 5616990489600. Its totient is φ = 315900297216.

The previous prime is 1382187663341. The next prime is 1382187663361. The reversal of 1382187663360 is 633667812831.

1382187663360 is a `hidden beast` number, since 1 + 3 + 8 + 218 + 7 + 6 + 63 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1382187663297 and 1382187663306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382187663361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123857461 + ... + 123868619.

It is an arithmetic number, because the mean of its divisors is an integer number (9751719600).

Almost surely, 2^{1382187663360} is an apocalyptic number.

1382187663360 is a gapful number since it is divisible by the number (10) 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 1382187663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808495244800).

1382187663360 is an abundant number, since it is smaller than the sum of its proper divisors (4234802826240).

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

1382187663360 is an frugal number, since it uses more digits than its factorization.

1382187663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11214 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1382187663360 in words is "one trillion, three hundred eighty-two billion, one hundred eighty-seven million, six hundred sixty-three thousand, three hundred sixty".