211214514504 has 96 divisors (see below), whose sum is σ = 630847673280. Its totient is φ = 58715991936.

The previous prime is 211214514487. The next prime is 211214514559. The reversal of 211214514504 is 405415412112.

211214514504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211214514504² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383572 + ... + 2470595.

It is an arithmetic number, because the mean of its divisors is an integer number (6571329930).

Almost surely, 2^211214514504 is an apocalyptic number.

211214514504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211214514504 is an abundant number, since it is smaller than the sum of its proper divisors (419633158776).

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

211214514504 is a wasteful number, since it uses less digits than its factorization.

211214514504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854227 (or 4854216 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 211214514504 its reverse (405415412112), we get a palindrome (616629926616).

The spelling of 211214514504 in words is "two hundred eleven billion, two hundred fourteen million, five hundred fourteen thousand, five hundred four".