14101938736128 has 616 divisors, whose sum is σ = 44938509382368. Its totient is φ = 4411150368768.

The previous prime is 14101938736121. The next prime is 14101938736129. The reversal of 14101938736128 is 82163783910141.

14101938736128 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 19 + 3 + 8 + 7 + 3 + 612 + 8 = 666.

It is a super-2 number, since 2×14101938736128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14101938736121) 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 55 ways as a sum of consecutive naturals, for example, 909970876 + ... + 909986372.

Almost surely, 2^{14101938736128} is an apocalyptic number.

14101938736128 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 14101938736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469254691184).

14101938736128 is an abundant number, since it is smaller than the sum of its proper divisors (30836570646240).

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

14101938736128 is an equidigital number, since it uses as much as digits as its factorization.

14101938736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14101938736128 in words is "fourteen trillion, one hundred one billion, nine hundred thirty-eight million, seven hundred thirty-six thousand, one hundred twenty-eight".