211216621146 has 64 divisors (see below), whose sum is σ = 435400261632. Its totient is φ = 68266800000.

The previous prime is 211216621093. The next prime is 211216621163. The reversal of 211216621146 is 641126612112.

It is a super-2 number, since 2×211216621146² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28729371 + ... + 28736721.

It is an arithmetic number, because the mean of its divisors is an integer number (6803129088).

Almost surely, 2^211216621146 is an apocalyptic number.

211216621146 is an abundant number, since it is smaller than the sum of its proper divisors (224183640486).

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

211216621146 is a wasteful number, since it uses less digits than its factorization.

211216621146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099.

The product of its digits is 6912, while the sum is 33.

It can be divided in two parts, 2112166 and 21146, that added together give a palindrome (2133312).

The spelling of 211216621146 in words is "two hundred eleven billion, two hundred sixteen million, six hundred twenty-one thousand, one hundred forty-six".