16536000312 has 112 divisors (see below), whose sum is σ = 50062329240. Its totient is φ = 5087976768.

The previous prime is 16536000311. The next prime is 16536000337. The reversal of 16536000312 is 21300063561.

16536000312 is a `hidden beast` number, since 1 + 6 + 53 + 600 + 0 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16536000311) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33238 + ... + 184869.

Almost surely, 2^16536000312 is an apocalyptic number.

16536000312 is a gapful number since it is divisible by the number (12) 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 16536000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031164620).

16536000312 is an abundant number, since it is smaller than the sum of its proper divisors (33526328928).

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

16536000312 is a wasteful number, since it uses less digits than its factorization.

16536000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218144 (or 218125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 16536000312 its reverse (21300063561), we get a palindrome (37836063873).

The spelling of 16536000312 in words is "sixteen billion, five hundred thirty-six million, three hundred twelve", and thus it is an aban number.