16986145824 has 60 divisors (see below), whose sum is σ = 49955790654. Its totient is φ = 5662047744.

The previous prime is 16986145769. The next prime is 16986145829. The reversal of 16986145824 is 42854168961.

16986145824 is a `hidden beast` number, since 16 + 9 + 8 + 614 + 5 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11470410000 + 5515735824 = 107100^2 + 74268^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16986145829) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 3274057 + ... + 3279240.

Almost surely, 2^16986145824 is an apocalyptic number.

It is an amenable number.

16986145824 is an abundant number, since it is smaller than the sum of its proper divisors (32969644830).

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

16986145824 is an equidigital number, since it uses as much as digits as its factorization.

16986145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553319 (or 6553302 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 16986145824 in words is "sixteen billion, nine hundred eighty-six million, one hundred forty-five thousand, eight hundred twenty-four".