1386513241344 has 864 divisors, whose sum is σ = 5473053121536. Its totient is φ = 338929090560.

The previous prime is 1386513241303. The next prime is 1386513241363. The reversal of 1386513241344 is 4431423156831.

1386513241344 is a `hidden beast` number, since 1 + 3 + 8 + 65 + 1 + 3 + 241 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 1386513241344.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 81421759 + ... + 81438785.

It is an arithmetic number, because the mean of its divisors is an integer number (6334552224).

Almost surely, 2^{1386513241344} is an apocalyptic number.

1386513241344 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 1386513241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736526560768).

1386513241344 is an abundant number, since it is smaller than the sum of its proper divisors (4086539880192).

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

1386513241344 is a wasteful number, since it uses less digits than its factorization.

1386513241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17093 (or 17067 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 1386513241344 in words is "one trillion, three hundred eighty-six billion, five hundred thirteen million, two hundred forty-one thousand, three hundred forty-four".