211309045135692 has 384 divisors, whose sum is σ = 581369150208000. Its totient is φ = 58494799503360.

The previous prime is 211309045135667. The next prime is 211309045135711. The reversal of 211309045135692 is 296531540903112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159961426392 + ... + 159961427712.

It is an arithmetic number, because the mean of its divisors is an integer number (1513982162000).

Almost surely, 2^{211309045135692} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211309045135692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290684575104000).

211309045135692 is an abundant number, since it is smaller than the sum of its proper divisors (370060105072308).

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

211309045135692 is a wasteful number, since it uses less digits than its factorization.

211309045135692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 211309045135692 in words is "two hundred eleven trillion, three hundred nine billion, forty-five million, one hundred thirty-five thousand, six hundred ninety-two".