211815671332009 has 16 divisors (see below), whose sum is σ = 221596647091200. Its totient is φ = 202200138507136.

The previous prime is 211815671331997. The next prime is 211815671332021. The reversal of 211815671332009 is 900233176518112.

211815671332009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211815671331997) and next prime (211815671332021).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211815671332009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211815671332039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35545272 + ... + 41074294.

It is an arithmetic number, because the mean of its divisors is an integer number (13849790443200).

Almost surely, 2^{211815671332009} is an apocalyptic number.

211815671332009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

211815671332009 is a deficient number, since it is larger than the sum of its proper divisors (9780975759191).

211815671332009 is a wasteful number, since it uses less digits than its factorization.

211815671332009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543984.

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 211815671332009 in words is "two hundred eleven trillion, eight hundred fifteen billion, six hundred seventy-one million, three hundred thirty-two thousand, nine".