1386116160 has 448 divisors, whose sum is σ = 5407395840. Its totient is φ = 296017920.

The previous prime is 1386116159. The next prime is 1386116191. The reversal of 1386116160 is 616116831.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 3157221 + ... + 3157659.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2^1386116160 is an apocalyptic number.

1386116160 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 1386116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703697920).

1386116160 is an abundant number, since it is smaller than the sum of its proper divisors (4021279680).

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

1386116160 is a wasteful number, since it uses less digits than its factorization.

1386116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1386116160 is about 37230.5809785450. The cubic root of 1386116160 is about 1114.9786264143.

The spelling of 1386116160 in words is "one billion, three hundred eighty-six million, one hundred sixteen thousand, one hundred sixty".