211246585642112 has 16 divisors (see below), whose sum is σ = 420842807334150. Its totient is φ = 105623292820992.

The previous prime is 211246585642109. The next prime is 211246585642117.

211246585642112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 198500371848256 + 12746213793856 = 14089016^2 + 3570184^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×211246585642112³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211246585642117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 825181975037 + ... + 825181975292.

Almost surely, 2^{211246585642112} is an apocalyptic number.

It is an amenable number.

211246585642112 is a deficient number, since it is larger than the sum of its proper divisors (209596221692038).

211246585642112 is an equidigital number, since it uses as much as digits as its factorization.

211246585642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650363950343 (or 1650363950331 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The spelling of 211246585642112 in words is "two hundred eleven trillion, two hundred forty-six billion, five hundred eighty-five million, six hundred forty-two thousand, one hundred twelve".