211521450114 has 128 divisors (see below), whose sum is σ = 536372928000. Its totient is φ = 61210404864.

The previous prime is 211521450061. The next prime is 211521450143. The reversal of 211521450114 is 411054125112.

211521450114 is a `hidden beast` number, since 2 + 1 + 152 + 1 + 4 + 501 + 1 + 4 = 666.

It is a super-2 number, since 2×211521450114² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 18599422 + ... + 18610790.

It is an arithmetic number, because the mean of its divisors is an integer number (4190413500).

Almost surely, 2^211521450114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211521450114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268186464000).

211521450114 is an abundant number, since it is smaller than the sum of its proper divisors (324851477886).

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

211521450114 is a wasteful number, since it uses less digits than its factorization.

211521450114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 211521450114 its reverse (411054125112), we get a palindrome (622575575226).

The spelling of 211521450114 in words is "two hundred eleven billion, five hundred twenty-one million, four hundred fifty thousand, one hundred fourteen".