14208749352 has 256 divisors, whose sum is σ = 46365696000. Its totient is φ = 3947533056.

The previous prime is 14208749329. The next prime is 14208749377. The reversal of 14208749352 is 25394780241.

14208749352 is a `hidden beast` number, since 14 + 20 + 87 + 493 + 52 = 666.

14208749352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14208749298 and 14208749307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12719898 + ... + 12721014.

It is an arithmetic number, because the mean of its divisors is an integer number (181116000).

Almost surely, 2^14208749352 is an apocalyptic number.

14208749352 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 14208749352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182848000).

14208749352 is an abundant number, since it is smaller than the sum of its proper divisors (32156946648).

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

14208749352 is a wasteful number, since it uses less digits than its factorization.

14208749352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14208749352 in words is "fourteen billion, two hundred eight million, seven hundred forty-nine thousand, three hundred fifty-two".