16806972954 has 32 divisors (see below), whose sum is σ = 33726288960. Its totient is φ = 5583624192.

The previous prime is 16806972953. The next prime is 16806972979. The reversal of 16806972954 is 45927960861.

16806972954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16806972954² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16806972894 and 16806972903.

It is not an unprimeable number, because it can be changed into a prime (16806972953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4859994 + ... + 4863450.

It is an arithmetic number, because the mean of its divisors is an integer number (1053946530).

Almost surely, 2^16806972954 is an apocalyptic number.

16806972954 is an abundant number, since it is smaller than the sum of its proper divisors (16919316006).

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

16806972954 is a wasteful number, since it uses less digits than its factorization.

16806972954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 16806972954 in words is "sixteen billion, eight hundred six million, nine hundred seventy-two thousand, nine hundred fifty-four".