216141456184101 has 12 divisors (see below), whose sum is σ = 356804943542112. Its totient is φ = 123509403533736.

The previous prime is 216141456184091. The next prime is 216141456184103. The reversal of 216141456184101 is 101481654141612.

It is a happy number.

216141456184101 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 4 + 1 + 4 + 561 + 84 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 216141456184101 - 2¹⁵ = 216141456151333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216141456184103) 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 11 ways as a sum of consecutive naturals, for example, 1715408382351 + ... + 1715408382476.

It is an arithmetic number, because the mean of its divisors is an integer number (29733745295176).

Almost surely, 2^{216141456184101} is an apocalyptic number.

216141456184101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216141456184101 is a deficient number, since it is larger than the sum of its proper divisors (140663487358011).

216141456184101 is a wasteful number, since it uses less digits than its factorization.

216141456184101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430816764840 (or 3430816764837 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 216141456184101 in words is "two hundred sixteen trillion, one hundred forty-one billion, four hundred fifty-six million, one hundred eighty-four thousand, one hundred one".