14169033216 has 400 divisors, whose sum is σ = 46727587368. Its totient is φ = 4246732800.

The previous prime is 14169033173. The next prime is 14169033251. The reversal of 14169033216 is 61233096141.

It can be written as a sum of positive squares in 4 ways, for example, as 9169977600 + 4999055616 = 95760^2 + 70704^2 .

It is a super-2 number, since 2×14169033216² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22104256 + ... + 22104896.

Almost surely, 2^14169033216 is an apocalyptic number.

14169033216 is a gapful number since it is divisible by the number (16) 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 14169033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363793684).

14169033216 is an abundant number, since it is smaller than the sum of its proper divisors (32558554152).

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

14169033216 is an equidigital number, since it uses as much as digits as its factorization.

14169033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14169033216 in words is "fourteen billion, one hundred sixty-nine million, thirty-three thousand, two hundred sixteen".