16128668874906 has 512 divisors, whose sum is σ = 45336916131840. Its totient is φ = 4201599314880.

The previous prime is 16128668874893. The next prime is 16128668874907. The reversal of 16128668874906 is 60947886682161.

16128668874906 is a `hidden beast` number, since 1 + 6 + 128 + 6 + 6 + 8 + 8 + 7 + 490 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (16128668874907) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1462646965 + ... + 1462657991.

It is an arithmetic number, because the mean of its divisors is an integer number (88548664320).

Almost surely, 2^{16128668874906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16128668874906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22668458065920).

16128668874906 is an abundant number, since it is smaller than the sum of its proper divisors (29208247256934).

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

16128668874906 is a wasteful number, since it uses less digits than its factorization.

16128668874906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 16128668874906 in words is "sixteen trillion, one hundred twenty-eight billion, six hundred sixty-eight million, eight hundred seventy-four thousand, nine hundred six".