14127818172601 has 27 divisors (see below), whose sum is σ = 16557770674341. Its totient is φ = 12019327105464.

The previous prime is 14127818172593. The next prime is 14127818172683. The reversal of 14127818172601 is 10627181872141.

It is a happy number.

The square root of 14127818172601 is 3758699.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 14127818172601 - 2³ = 14127818172593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14127818172691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3657212196 + ... + 3657216058.

Almost surely, 2^{14127818172601} is an apocalyptic number.

14127818172601 is the 3758699-th square number.

14127818172601 is the 1879350-th centered octagonal number.

It is an amenable number.

14127818172601 is a deficient number, since it is larger than the sum of its proper divisors (2429952501740).

14127818172601 is an frugal number, since it uses more digits than its factorization.

14127818172601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 49.

Multiplying 14127818172601 by its sum of digits (49), we get a square (692263090457449 = 26310893²).

14127818172601 divided by its sum of digits (49) gives a square (288322819849 = 536957²).

The spelling of 14127818172601 in words is "fourteen trillion, one hundred twenty-seven billion, eight hundred eighteen million, one hundred seventy-two thousand, six hundred one".