14364538272 has 384 divisors, whose sum is σ = 50020830720. Its totient is φ = 3924910080.

The previous prime is 14364538217. The next prime is 14364538301. The reversal of 14364538272 is 27283546341.

14364538272 is a `hidden beast` number, since 1 + 43 + 6 + 4 + 538 + 2 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13141758 + ... + 13142850.

It is an arithmetic number, because the mean of its divisors is an integer number (130262580).

Almost surely, 2^14364538272 is an apocalyptic number.

14364538272 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 14364538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25010415360).

14364538272 is an abundant number, since it is smaller than the sum of its proper divisors (35656292448).

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

14364538272 is a wasteful number, since it uses less digits than its factorization.

14364538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1199 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 14364538272 in words is "fourteen billion, three hundred sixty-four million, five hundred thirty-eight thousand, two hundred seventy-two".