81888516413101 has 16 divisors (see below), whose sum is σ = 88105414789440. Its totient is φ = 75871668712320.

The previous prime is 81888516413059. The next prime is 81888516413111. The reversal of 81888516413101 is 10131461588818.

It is a cyclic number.

It is not a de Polignac number, because 81888516413101 - 2⁹ = 81888516412589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81888516413111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129587815 + ... + 130218196.

It is an arithmetic number, because the mean of its divisors is an integer number (5506588424340).

Almost surely, 2^{81888516413101} is an apocalyptic number.

It is an amenable number.

81888516413101 is a deficient number, since it is larger than the sum of its proper divisors (6216898376339).

81888516413101 is a wasteful number, since it uses less digits than its factorization.

81888516413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259806396.

The product of its (nonzero) digits is 1474560, while the sum is 55.

The spelling of 81888516413101 in words is "eighty-one trillion, eight hundred eighty-eight billion, five hundred sixteen million, four hundred thirteen thousand, one hundred one".