16106705315838 has 24 divisors (see below), whose sum is σ = 35749028873376. Its totient is φ = 5237952948000.

The previous prime is 16106705315837. The next prime is 16106705315873. The reversal of 16106705315838 is 83851350760161.

It is a happy number.

16106705315838 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 6 + 7 + 0 + 53 + 1 + 583 + 8 = 666.

It is a super-2 number, since 2×16106705315838² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16106705315837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10912401238 + ... + 10912402713.

It is an arithmetic number, because the mean of its divisors is an integer number (1489542869724).

Almost surely, 2^{16106705315838} is an apocalyptic number.

16106705315838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

16106705315838 is an abundant number, since it is smaller than the sum of its proper divisors (19642323557538).

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

16106705315838 is a wasteful number, since it uses less digits than its factorization.

16106705315838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21824804000 (or 21824803997 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 16106705315838 in words is "sixteen trillion, one hundred six billion, seven hundred five million, three hundred fifteen thousand, eight hundred thirty-eight".