211815055584145 has 16 divisors (see below), whose sum is σ = 273730530790080. Its totient is φ = 156417097466304.

The previous prime is 211815055584131. The next prime is 211815055584163. The reversal of 211815055584145 is 541485550518112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211815055584145 - 2²⁹ = 211814518713233 is a prime.

It is a super-2 number, since 2×211815055584145² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104093362 + ... + 106108708.

It is an arithmetic number, because the mean of its divisors is an integer number (17108158174380).

Almost surely, 2^{211815055584145} is an apocalyptic number.

It is an amenable number.

211815055584145 is a deficient number, since it is larger than the sum of its proper divisors (61915475205935).

211815055584145 is a wasteful number, since it uses less digits than its factorization.

211815055584145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632304.

The product of its (nonzero) digits is 6400000, while the sum is 55.

The spelling of 211815055584145 in words is "two hundred eleven trillion, eight hundred fifteen billion, fifty-five million, five hundred eighty-four thousand, one hundred forty-five".