211265666630226 has 120 divisors (see below), whose sum is σ = 526461715525284. Its totient is φ = 63247933157760.

The previous prime is 211265666630141. The next prime is 211265666630251. The reversal of 211265666630226 is 622036666562112.

It can be written as a sum of positive squares in 6 ways, for example, as 64046392404201 + 147219274226025 = 8002899^2 + 12133395^2 .

It is a super-2 number, since 2×211265666630226² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103265685 + ... + 105291656.

Almost surely, 2^{211265666630226} is an apocalyptic number.

211265666630226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

211265666630226 is an abundant number, since it is smaller than the sum of its proper divisors (315196048895058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211265666630226 is a wasteful number, since it uses less digits than its factorization.

211265666630226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208557418 (or 208557396 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 211265666630226 in words is "two hundred eleven trillion, two hundred sixty-five billion, six hundred sixty-six million, six hundred thirty thousand, two hundred twenty-six".