36183648400 has 45 divisors (see below), whose sum is σ = 86940356313. Its totient is φ = 14471937600.

The previous prime is 36183648379. The next prime is 36183648407. The reversal of 36183648400 is 484638163.

The square root of 36183648400 is 190220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13026113424 + 23157534976 = 114132^2 + 152176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36183648407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3799645 + ... + 3809155.

Almost surely, 2^36183648400 is an apocalyptic number.

36183648400 is the 190220-th square number.

It is an amenable number.

36183648400 is an abundant number, since it is smaller than the sum of its proper divisors (50756707913).

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

36183648400 is an frugal number, since it uses more digits than its factorization.

36183648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 36183648400 in words is "thirty-six billion, one hundred eighty-three million, six hundred forty-eight thousand, four hundred".