16001000016 has 40 divisors (see below), whose sum is σ = 41859166080. Its totient is φ = 5266150656.

The previous prime is 16001000003. The next prime is 16001000027. The reversal of 16001000016 is 61000010061.

It is a junction number, because it is equal to n+sod(n) for n = 16000999959 and 16001000004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2106045 + ... + 2113628.

It is an arithmetic number, because the mean of its divisors is an integer number (1046479152).

Almost surely, 2^16001000016 is an apocalyptic number.

16001000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16001000016 is the 80003-rd centered pentagonal number.

It is an amenable number.

16001000016 is an abundant number, since it is smaller than the sum of its proper divisors (25858166064).

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

16001000016 is a wasteful number, since it uses less digits than its factorization.

16001000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219763 (or 4219757 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 16001000016 its reverse (61000010061), we get a palindrome (77001010077).

The spelling of 16001000016 in words is "sixteen billion, one million, sixteen", and thus it is an aban number and an uban number.