16845113952 has 144 divisors (see below), whose sum is σ = 50776401312. Its totient is φ = 5278986240.

The previous prime is 16845113941. The next prime is 16845113977. The reversal of 16845113952 is 25931154861.

It is a happy number.

16845113952 is a `hidden beast` number, since 1 + 6 + 84 + 511 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 16845113898 and 16845113907.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7866802 + ... + 7868942.

It is an arithmetic number, because the mean of its divisors is an integer number (352613898).

Almost surely, 2^16845113952 is an apocalyptic number.

16845113952 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 16845113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25388200656).

16845113952 is an abundant number, since it is smaller than the sum of its proper divisors (33931287360).

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

16845113952 is a wasteful number, since it uses less digits than its factorization.

16845113952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3770 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 16845113952 in words is "sixteen billion, eight hundred forty-five million, one hundred thirteen thousand, nine hundred fifty-two".