16586951418 has 60 divisors (see below), whose sum is σ = 38469153690. Its totient is φ = 5335488144.

The previous prime is 16586951401. The next prime is 16586951441. The reversal of 16586951418 is 81415968561.

16586951418 is a `hidden beast` number, since 1 + 6 + 58 + 69 + 514 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14013114129 + 2573837289 = 118377^2 + 50733^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8826603 + ... + 8828481.

Almost surely, 2^16586951418 is an apocalyptic number.

16586951418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16586951418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234576845).

16586951418 is an abundant number, since it is smaller than the sum of its proper divisors (21882202272).

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

16586951418 is an frugal number, since it uses more digits than its factorization.

16586951418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 1913 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 16586951418 in words is "sixteen billion, five hundred eighty-six million, nine hundred fifty-one thousand, four hundred eighteen".