14123878272 has 384 divisors, whose sum is σ = 48820561920. Its totient is φ = 3832012800.

The previous prime is 14123878267. The next prime is 14123878277. The reversal of 14123878272 is 27287832141.

14123878272 is a `hidden beast` number, since 141 + 238 + 7 + 8 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (14123878267) and next prime (14123878277).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123878277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50262772 + ... + 50263052.

It is an arithmetic number, because the mean of its divisors is an integer number (127136880).

Almost surely, 2^14123878272 is an apocalyptic number.

14123878272 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 14123878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24410280960).

14123878272 is an abundant number, since it is smaller than the sum of its proper divisors (34696683648).

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

14123878272 is a wasteful number, since it uses less digits than its factorization.

14123878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 14123878272 in words is "fourteen billion, one hundred twenty-three million, eight hundred seventy-eight thousand, two hundred seventy-two".