36118483200 has 810 divisors, whose sum is σ = 141675472554. Its totient is φ = 9077391360.

The previous prime is 36118483189. The next prime is 36118483207. The reversal of 36118483200 is 238481163.

36118483200 is a `hidden beast` number, since 3 + 611 + 8 + 4 + 8 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 479084544 + 35639398656 = 21888^2 + 188784^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36118483207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 187142304 + ... + 187142496.

Almost surely, 2^36118483200 is an apocalyptic number.

36118483200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36118483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70837736277).

36118483200 is an abundant number, since it is smaller than the sum of its proper divisors (105556989354).

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

36118483200 is a wasteful number, since it uses less digits than its factorization.

36118483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 36118483200 in words is "thirty-six billion, one hundred eighteen million, four hundred eighty-three thousand, two hundred".