211614625312144 has 40 divisors (see below), whose sum is σ = 416160290278040. Its totient is φ = 104222190993408.

The previous prime is 211614625312109. The next prime is 211614625312157. The reversal of 211614625312144 is 441213526416112.

It can be written as a sum of positive squares in 4 ways, for example, as 32598253222144 + 179016372090000 = 5709488^2 + 13379700^2 .

It is a super-2 number, since 2×211614625312144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211614625312144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116902137 + ... + 118698520.

It is an arithmetic number, because the mean of its divisors is an integer number (10404007256951).

Almost surely, 2^{211614625312144} is an apocalyptic number.

It is an amenable number.

211614625312144 is a deficient number, since it is larger than the sum of its proper divisors (204545664965896).

211614625312144 is a wasteful number, since it uses less digits than its factorization.

211614625312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235601507 (or 235601501 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 211614625312144 in words is "two hundred eleven trillion, six hundred fourteen billion, six hundred twenty-five million, three hundred twelve thousand, one hundred forty-four".