211153232215156 has 324 divisors, whose sum is σ = 510816313082628. Its totient is φ = 76036580928000.

The previous prime is 211153232215129. The next prime is 211153232215187. The reversal of 211153232215156 is 651512232351112.

It can be written as a sum of positive squares in 2 ways, for example, as 11009681431056 + 200143550784100 = 3318084^2 + 14147210^2 .

It is a super-2 number, since 2×211153232215156² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 350719746 + ... + 351321286.

It is an arithmetic number, because the mean of its divisors is an integer number (1576593558897).

Almost surely, 2^{211153232215156} 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 211153232215156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255408156541314).

211153232215156 is an abundant number, since it is smaller than the sum of its proper divisors (299663080867472).

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

211153232215156 is a wasteful number, since it uses less digits than its factorization.

211153232215156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601660 (or 601621 counting only the distinct ones).

The product of its digits is 108000, while the sum is 40.

Adding to 211153232215156 its reverse (651512232351112), we get a palindrome (862665464566268).

The spelling of 211153232215156 in words is "two hundred eleven trillion, one hundred fifty-three billion, two hundred thirty-two million, two hundred fifteen thousand, one hundred fifty-six".