211341445920 has 864 divisors, whose sum is σ = 864310608000. Its totient is φ = 48186040320.

The previous prime is 211341445901. The next prime is 211341445949. The reversal of 211341445920 is 29544143112.

211341445920 is a `hidden beast` number, since 2 + 113 + 414 + 45 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 151065381 + ... + 151066779.

It is an arithmetic number, because the mean of its divisors is an integer number (1000359500).

Almost surely, 2^211341445920 is an apocalyptic number.

211341445920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211341445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432155304000).

211341445920 is an abundant number, since it is smaller than the sum of its proper divisors (652969162080).

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

211341445920 is a wasteful number, since it uses less digits than its factorization.

211341445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 211341445920 in words is "two hundred eleven billion, three hundred forty-one million, four hundred forty-five thousand, nine hundred twenty".