16013631168 has 336 divisors, whose sum is σ = 49907220480. Its totient is φ = 4891041792.

The previous prime is 16013631163. The next prime is 16013631173. The reversal of 16013631168 is 86113631061.

16013631168 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 3 + 631 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (16013631163) and next prime (16013631173).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16013631163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98243055 + ... + 98243217.

Almost surely, 2^16013631168 is an apocalyptic number.

16013631168 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 16013631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953610240).

16013631168 is an abundant number, since it is smaller than the sum of its proper divisors (33893589312).

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

16013631168 is a wasteful number, since it uses less digits than its factorization.

16013631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 16013631168 in words is "sixteen billion, thirteen million, six hundred thirty-one thousand, one hundred sixty-eight".