14127657486768 has 960 divisors, whose sum is σ = 49392548674560. Its totient is φ = 3824042213376.

The previous prime is 14127657486703. The next prime is 14127657486823. The reversal of 14127657486768 is 86768475672141.

It is a happy number.

14127657486768 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 76 + 5 + 7 + 486 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (758661120) is a multiple of the sum of its prime factors (1176).

It is a junction number, because it is equal to n+sod(n) for n = 14127657486696 and 14127657486705.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22897337596 + ... + 22897338212.

It is an arithmetic number, because the mean of its divisors is an integer number (51450571536).

Almost surely, 2^{14127657486768} is an apocalyptic number.

14127657486768 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 14127657486768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696274337280).

14127657486768 is an abundant number, since it is smaller than the sum of its proper divisors (35264891187792).

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

14127657486768 is a wasteful number, since it uses less digits than its factorization.

14127657486768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1158 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 14127657486768 in words is "fourteen trillion, one hundred twenty-seven billion, six hundred fifty-seven million, four hundred eighty-six thousand, seven hundred sixty-eight".