211736048128 has 160 divisors (see below), whose sum is σ = 490686844032. Its totient is φ = 90319257600.

The previous prime is 211736048119. The next prime is 211736048159. The reversal of 211736048128 is 821840637112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6849988 + ... + 6880828.

Almost surely, 2^211736048128 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 211736048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245343422016).

211736048128 is an abundant number, since it is smaller than the sum of its proper divisors (278950795904).

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

211736048128 is a wasteful number, since it uses less digits than its factorization.

211736048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30946 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 211736048128 in words is "two hundred eleven billion, seven hundred thirty-six million, forty-eight thousand, one hundred twenty-eight".