211314014145 has 192 divisors, whose sum is σ = 410002145280. Its totient is φ = 100019404800.

The previous prime is 211314014143. The next prime is 211314014183. The reversal of 211314014145 is 541410413112.

It is a happy number.

211314014145 is a `hidden beast` number, since 2 + 113 + 1 + 401 + 4 + 145 = 666.

It is not a de Polignac number, because 211314014145 - 2¹ = 211314014143 is a prime.

It is a super-2 number, since 2×211314014145² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211314014141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 884158936 + ... + 884159174.

It is an arithmetic number, because the mean of its divisors is an integer number (2135427840).

Almost surely, 2^211314014145 is an apocalyptic number.

It is an amenable number.

211314014145 is a deficient number, since it is larger than the sum of its proper divisors (198688131135).

211314014145 is a wasteful number, since it uses less digits than its factorization.

211314014145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 211314014145 its reverse (541410413112), we get a palindrome (752724427257).

The spelling of 211314014145 in words is "two hundred eleven billion, three hundred fourteen million, fourteen thousand, one hundred forty-five".