14332156282368 has 240 divisors, whose sum is σ = 41844126804480. Its totient is φ = 4722203455488.

The previous prime is 14332156282361. The next prime is 14332156282399. The reversal of 14332156282368 is 86328265123341.

14332156282368 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 2 + 1 + 5 + 628 + 2 + 3 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332156282361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 137694921 + ... + 137798967.

It is an arithmetic number, because the mean of its divisors is an integer number (174350528352).

Almost surely, 2^{14332156282368} is an apocalyptic number.

14332156282368 is a gapful number since it is divisible by the number (18) 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 14332156282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922063402240).

14332156282368 is an abundant number, since it is smaller than the sum of its proper divisors (27511970522112).

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

14332156282368 is a wasteful number, since it uses less digits than its factorization.

14332156282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104417 (or 104398 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 14332156282368 in words is "fourteen trillion, three hundred thirty-two billion, one hundred fifty-six million, two hundred eighty-two thousand, three hundred sixty-eight".