14060172672 has 768 divisors, whose sum is σ = 54355392000. Its totient is φ = 3493601280.

The previous prime is 14060172629. The next prime is 14060172673. The reversal of 14060172672 is 27627106041.

14060172672 is a `hidden beast` number, since 1 + 40 + 601 + 7 + 2 + 6 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (14060172673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77680422 + ... + 77680602.

It is an arithmetic number, because the mean of its divisors is an integer number (70775250).

Almost surely, 2^14060172672 is an apocalyptic number.

14060172672 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 14060172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27177696000).

14060172672 is an abundant number, since it is smaller than the sum of its proper divisors (40295219328).

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

14060172672 is a wasteful number, since it uses less digits than its factorization.

14060172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14060172672 in words is "fourteen billion, sixty million, one hundred seventy-two thousand, six hundred seventy-two".