14005476672 has 112 divisors (see below), whose sum is σ = 41411127744. Its totient is φ = 4140544000.

The previous prime is 14005476649. The next prime is 14005476677. The reversal of 14005476672 is 27667450041.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005476677) 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, 5722 + ... + 167462.

It is an arithmetic number, because the mean of its divisors is an integer number (369742212).

Almost surely, 2^14005476672 is an apocalyptic number.

14005476672 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 14005476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705563872).

14005476672 is an abundant number, since it is smaller than the sum of its proper divisors (27405651072).

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

14005476672 is a wasteful number, since it uses less digits than its factorization.

14005476672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161808 (or 161798 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 14005476672 in words is "fourteen billion, five million, four hundred seventy-six thousand, six hundred seventy-two".