212138613270441 has 135 divisors (see below), whose sum is σ = 377215135245333. Its totient is φ = 118668457702080.

The previous prime is 212138613270407. The next prime is 212138613270449. The reversal of 212138613270441 is 144072316831212.

The square root of 212138613270441 is 14564979.

It is a perfect power (a square), and thus also a powerful number.

212138613270441 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 8 + 6 + 132 + 70 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10595161710441 + 201543451560000 = 3255021^2 + 14196600^2 .

It is not a de Polignac number, because 212138613270441 - 2¹³ = 212138613262249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212138613270449) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18745122315 + ... + 18745133631.

Almost surely, 2^{212138613270441} is an apocalyptic number.

212138613270441 is the 14564979-th square number.

212138613270441 is the 7282490-th centered octagonal number.

It is an amenable number.

212138613270441 is a deficient number, since it is larger than the sum of its proper divisors (165076521974892).

212138613270441 is an frugal number, since it uses more digits than its factorization.

212138613270441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 212138613270441 in words is "two hundred twelve trillion, one hundred thirty-eight billion, six hundred thirteen million, two hundred seventy thousand, four hundred forty-one".