16302135168 has 768 divisors, whose sum is σ = 57741465600. Its totient is φ = 4528742400.

The previous prime is 16302135149. The next prime is 16302135169. The reversal of 16302135168 is 86153120361.

16302135168 is a `hidden beast` number, since 1 + 630 + 2 + 1 + 3 + 5 + 16 + 8 = 666.

It is a super-2 number, since 2×16302135168² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16302135169) 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 95 ways as a sum of consecutive naturals, for example, 307587430 + ... + 307587482.

It is an arithmetic number, because the mean of its divisors is an integer number (75184200).

Almost surely, 2^16302135168 is an apocalyptic number.

16302135168 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 16302135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870732800).

16302135168 is an abundant number, since it is smaller than the sum of its proper divisors (41439330432).

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

16302135168 is a wasteful number, since it uses less digits than its factorization.

16302135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16302135168 in words is "sixteen billion, three hundred two million, one hundred thirty-five thousand, one hundred sixty-eight".