163642105011 has 192 divisors, whose sum is σ = 303588311040. Its totient is φ = 76429267200.

The previous prime is 163642104979. The next prime is 163642105037. The reversal of 163642105011 is 110501246361.

It is a happy number.

163642105011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 163642105011 - 2⁵ = 163642104979 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 163642105011.

It is not an unprimeable number, because it can be changed into a prime (163642105511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79321366 + ... + 79323428.

It is an arithmetic number, because the mean of its divisors is an integer number (1581189120).

Almost surely, 2^163642105011 is an apocalyptic number.

163642105011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

163642105011 is a deficient number, since it is larger than the sum of its proper divisors (139946206029).

163642105011 is a wasteful number, since it uses less digits than its factorization.

163642105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 163642105011 in words is "one hundred sixty-three billion, six hundred forty-two million, one hundred five thousand, eleven".