16017331968 has 864 divisors, whose sum is σ = 58160793600. Its totient is φ = 4180377600.

The previous prime is 16017331933. The next prime is 16017331969. The reversal of 16017331968 is 86913371061.

16017331968 is a `hidden beast` number, since 1 + 601 + 7 + 3 + 31 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×16017331968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16017331969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432900846 + ... + 432900882.

Almost surely, 2^16017331968 is an apocalyptic number.

16017331968 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 16017331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29080396800).

16017331968 is an abundant number, since it is smaller than the sum of its proper divisors (42143461632).

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

16017331968 is a wasteful number, since it uses less digits than its factorization.

16017331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 16017331968 in words is "sixteen billion, seventeen million, three hundred thirty-one thousand, nine hundred sixty-eight".