16138472828544 has 512 divisors, whose sum is σ = 53404334208000. Its totient is φ = 4754796318720.

The previous prime is 16138472828539. The next prime is 16138472828561. The reversal of 16138472828544 is 44582827483161.

16138472828544 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 8 + 4 + 7 + 2 + 82 + 8 + 544 = 666.

16138472828544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2423554687 + ... + 2423561345.

It is an arithmetic number, because the mean of its divisors is an integer number (104305340250).

Almost surely, 2^{16138472828544} 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 16138472828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702167104000).

16138472828544 is an abundant number, since it is smaller than the sum of its proper divisors (37265861379456).

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

16138472828544 is a wasteful number, since it uses less digits than its factorization.

16138472828544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453 (or 8435 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 16138472828544 in words is "sixteen trillion, one hundred thirty-eight billion, four hundred seventy-two million, eight hundred twenty-eight thousand, five hundred forty-four".