211361652564 has 96 divisors (see below), whose sum is σ = 530426050560. Its totient is φ = 65351932800.

The previous prime is 211361652527. The next prime is 211361652703. The reversal of 211361652564 is 465256163112.

211361652564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106947 + ... + 1283765.

It is an arithmetic number, because the mean of its divisors is an integer number (5525271360).

Almost surely, 2^211361652564 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 211361652564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265213025280).

211361652564 is an abundant number, since it is smaller than the sum of its proper divisors (319064397996).

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

211361652564 is a wasteful number, since it uses less digits than its factorization.

211361652564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176981 (or 176979 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 211361652564 in words is "two hundred eleven billion, three hundred sixty-one million, six hundred fifty-two thousand, five hundred sixty-four".