1386516000 has 192 divisors, whose sum is σ = 4571199360. Its totient is φ = 367385600.

The previous prime is 1386515957. The next prime is 1386516017. The reversal of 1386516000 is 6156831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 2723746 + ... + 2724254.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 2^1386516000 is an apocalyptic number.

1386516000 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 1386516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1386516000 is an abundant number, since it is smaller than the sum of its proper divisors (3184683360).

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

1386516000 is a wasteful number, since it uses less digits than its factorization.

1386516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1386516000 is about 37235.9503705760. The cubic root of 1386516000 is about 1115.0858252690.

The spelling of 1386516000 in words is "one billion, three hundred eighty-six million, five hundred sixteen thousand".