16158437568 has 504 divisors, whose sum is σ = 59319029952. Its totient is φ = 4166443008.

The previous prime is 16158437563. The next prime is 16158437569. The reversal of 16158437568 is 86573485161.

It is a happy number.

16158437568 is a `hidden beast` number, since 1 + 6 + 1 + 584 + 3 + 7 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×16158437568² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (16158437563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17244396 + ... + 17245332.

It is an arithmetic number, because the mean of its divisors is an integer number (117696488).

Almost surely, 2^16158437568 is an apocalyptic number.

16158437568 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 16158437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659514976).

16158437568 is an abundant number, since it is smaller than the sum of its proper divisors (43160592384).

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

16158437568 is a wasteful number, since it uses less digits than its factorization.

16158437568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1009 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 16158437568 in words is "sixteen billion, one hundred fifty-eight million, four hundred thirty-seven thousand, five hundred sixty-eight".