16122459168 has 144 divisors (see below), whose sum is σ = 47899627776. Its totient is φ = 5137896960.

The previous prime is 16122459161. The next prime is 16122459181. The reversal of 16122459168 is 86195422161.

16122459168 is a `hidden beast` number, since 1 + 612 + 24 + 5 + 9 + 1 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16122459161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730146 + ... + 751902.

It is an arithmetic number, because the mean of its divisors is an integer number (332636304).

Almost surely, 2^16122459168 is an apocalyptic number.

16122459168 is a gapful number since it is divisible by the number (18) 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 16122459168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949813888).

16122459168 is an abundant number, since it is smaller than the sum of its proper divisors (31777168608).

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

16122459168 is a wasteful number, since it uses less digits than its factorization.

16122459168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21887 (or 21876 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 16122459168 in words is "sixteen billion, one hundred twenty-two million, four hundred fifty-nine thousand, one hundred sixty-eight".