36214356200 has 144 divisors (see below), whose sum is σ = 93404503500. Its totient is φ = 13047091200.

The previous prime is 36214356179. The next prime is 36214356239. The reversal of 36214356200 is 265341263.

It can be written as a sum of positive squares in 6 ways, for example, as 14233921636 + 21980434564 = 119306^2 + 148258^2 .

It is a super-2 number, since 2×36214356200² (a number of 22 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2630936 + ... + 2644664.

Almost surely, 2^36214356200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36214356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702251750).

36214356200 is an abundant number, since it is smaller than the sum of its proper divisors (57190147300).

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

36214356200 is a wasteful number, since it uses less digits than its factorization.

36214356200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876 (or 13856 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 36214356200 its reverse (265341263), we get a palindrome (36479697463).

The spelling of 36214356200 in words is "thirty-six billion, two hundred fourteen million, three hundred fifty-six thousand, two hundred".