211417126144 has 144 divisors (see below), whose sum is σ = 487907836416. Its totient is φ = 89556940800.

The previous prime is 211417126133. The next prime is 211417126177. The reversal of 211417126144 is 441621714112.

It is a congruent number.

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, 109484859 + ... + 109486789.

It is an arithmetic number, because the mean of its divisors is an integer number (3388248864).

Almost surely, 2^211417126144 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 211417126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243953918208).

211417126144 is an abundant number, since it is smaller than the sum of its proper divisors (276490710272).

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

211417126144 is a wasteful number, since it uses less digits than its factorization.

211417126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2618 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

It can be divided in two parts, 211417 and 126144, that added together give a square (337561 = 581²).

The spelling of 211417126144 in words is "two hundred eleven billion, four hundred seventeen million, one hundred twenty-six thousand, one hundred forty-four".