36542565144 has 96 divisors (see below), whose sum is σ = 102813709440. Its totient is φ = 11712729600.

The previous prime is 36542565139. The next prime is 36542565187. The reversal of 36542565144 is 44156524563.

36542565144 is a `hidden beast` number, since 3 + 6 + 5 + 42 + 565 + 1 + 44 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36542565144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298284 + ... + 402564.

It is an arithmetic number, because the mean of its divisors is an integer number (1070976140).

Almost surely, 2^36542565144 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 36542565144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51406854720).

36542565144 is an abundant number, since it is smaller than the sum of its proper divisors (66271144296).

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

36542565144 is a wasteful number, since it uses less digits than its factorization.

36542565144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104481 (or 104474 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 36542565144 in words is "thirty-six billion, five hundred forty-two million, five hundred sixty-five thousand, one hundred forty-four".