216754172114401 has 2 divisors, whose sum is σ = 216754172114402. Its totient is φ = 216754172114400.

The previous prime is 216754172114369. The next prime is 216754172114437. The reversal of 216754172114401 is 104411271457612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165556497999376 + 51197674115025 = 12866876^2 + 7155255^2 .

It is a cyclic number.

It is not a de Polignac number, because 216754172114401 - 2⁵ = 216754172114369 is a prime.

It is a super-2 number, since 2×216754172114401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (216754172114461) 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 as a sum of consecutive naturals, namely, 108377086057200 + 108377086057201.

It is an arithmetic number, because the mean of its divisors is an integer number (108377086057201).

Almost surely, 2^{216754172114401} is an apocalyptic number.

It is an amenable number.

216754172114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

216754172114401 is an equidigital number, since it uses as much as digits as its factorization.

216754172114401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 216754172114401 in words is "two hundred sixteen trillion, seven hundred fifty-four billion, one hundred seventy-two million, one hundred fourteen thousand, four hundred one".