211414516 has 48 divisors (see below), whose sum is σ = 400392720. Its totient is φ = 97320960.

The previous prime is 211414493. The next prime is 211414519. The reversal of 211414516 is 615414112.

It can be written as a sum of positive squares in 8 ways, for example, as 47472100 + 163942416 = 6890^2 + 12804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211414519) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1095316 + ... + 1095508.

It is an arithmetic number, because the mean of its divisors is an integer number (8341515).

Almost surely, 2^211414516 is an apocalyptic number.

It is an amenable number.

211414516 is a deficient number, since it is larger than the sum of its proper divisors (188978204).

211414516 is a wasteful number, since it uses less digits than its factorization.

211414516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 211414516 is about 14540.1002747574. The cubic root of 211414516 is about 595.7237770805.

Adding to 211414516 its reverse (615414112), we get a palindrome (826828628).

The spelling of 211414516 in words is "two hundred eleven million, four hundred fourteen thousand, five hundred sixteen".