14400168672 has 96 divisors (see below), whose sum is σ = 38334643200. Its totient is φ = 4732535808.

The previous prime is 14400168661. The next prime is 14400168677. The reversal of 14400168672 is 27686100441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14400168672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400168677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235953 + ... + 3240399.

It is an arithmetic number, because the mean of its divisors is an integer number (399319200).

Almost surely, 2^14400168672 is an apocalyptic number.

14400168672 is a gapful number since it is divisible by the number (12) 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 14400168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167321600).

14400168672 is an abundant number, since it is smaller than the sum of its proper divisors (23934474528).

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

14400168672 is a wasteful number, since it uses less digits than its factorization.

14400168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 14400168672 in words is "fourteen billion, four hundred million, one hundred sixty-eight thousand, six hundred seventy-two".