1386216585 has 144 divisors (see below), whose sum is σ = 2778519744. Its totient is φ = 662328576.

The previous prime is 1386216571. The next prime is 1386216593. The reversal of 1386216585 is 5856126831.

1386216585 is a `hidden beast` number, since 1 + 3 + 8 + 62 + 1 + 6 + 585 = 666.

It is not a de Polignac number, because 1386216585 - 2²⁶ = 1319107721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1386216585.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8829327 + ... + 8829483.

It is an arithmetic number, because the mean of its divisors is an integer number (19295276).

Almost surely, 2^1386216585 is an apocalyptic number.

1386216585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1386216585 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1386216585 is a wasteful number, since it uses less digits than its factorization.

1386216585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1386216585 is about 37231.9296437883. The cubic root of 1386216585 is about 1115.0055527350.

The spelling of 1386216585 in words is "one billion, three hundred eighty-six million, two hundred sixteen thousand, five hundred eighty-five".