16123428864 has 320 divisors, whose sum is σ = 51338232000. Its totient is φ = 4982833152.

The previous prime is 16123428863. The next prime is 16123428869. The reversal of 16123428864 is 46882432161.

16123428864 is a `hidden beast` number, since 1 + 612 + 3 + 4 + 28 + 8 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (16123428863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240648159 + ... + 240648225.

It is an arithmetic number, because the mean of its divisors is an integer number (160431975).

Almost surely, 2^16123428864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16123428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669116000).

16123428864 is an abundant number, since it is smaller than the sum of its proper divisors (35214803136).

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

16123428864 is an frugal number, since it uses more digits than its factorization.

16123428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 16123428864 in words is "sixteen billion, one hundred twenty-three million, four hundred twenty-eight thousand, eight hundred sixty-four".