1986346416 has 160 divisors (see below), whose sum is σ = 5466168000. Its totient is φ = 620605440.

The previous prime is 1986346391. The next prime is 1986346459. The reversal of 1986346416 is 6146436891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12651810 + ... + 12651966.

It is an arithmetic number, because the mean of its divisors is an integer number (34163550).

Almost surely, 2^1986346416 is an apocalyptic number.

1986346416 is a gapful number since it is divisible by the number (16) 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 1986346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733084000).

1986346416 is an abundant number, since it is smaller than the sum of its proper divisors (3479821584).

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

1986346416 is a wasteful number, since it uses less digits than its factorization.

1986346416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 1986346416 is about 44568.4464167195. The cubic root of 1986346416 is about 1257.0474277522.

The spelling of 1986346416 in words is "one billion, nine hundred eighty-six million, three hundred forty-six thousand, four hundred sixteen".