211649591648 has 96 divisors (see below), whose sum is σ = 478895639040. Its totient is φ = 91063733760.

The previous prime is 211649591633. The next prime is 211649591651. The reversal of 211649591648 is 846195946112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211649591593 and 211649591602.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8260265 + ... + 8285847.

It is an arithmetic number, because the mean of its divisors is an integer number (4988496240).

Almost surely, 2^211649591648 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 211649591648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239447819520).

211649591648 is an abundant number, since it is smaller than the sum of its proper divisors (267246047392).

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

211649591648 is a wasteful number, since it uses less digits than its factorization.

211649591648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26860 (or 26852 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 56.

The spelling of 211649591648 in words is "two hundred eleven billion, six hundred forty-nine million, five hundred ninety-one thousand, six hundred forty-eight".