36361566016 has 112 divisors (see below), whose sum is σ = 79214014800. Its totient is φ = 16483647488.

The previous prime is 36361566001. The next prime is 36361566037. The reversal of 36361566016 is 61066516363.

It can be written as a sum of positive squares in 8 ways, for example, as 2617345600 + 33744220416 = 51160^2 + 183696^2 .

It is a super-2 number, since 2×36361566016² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17573430 + ... + 17575498.

Almost surely, 2^36361566016 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 36361566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39607007400).

36361566016 is an abundant number, since it is smaller than the sum of its proper divisors (42852448784).

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

36361566016 is a wasteful number, since it uses less digits than its factorization.

36361566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 36361566016 in words is "thirty-six billion, three hundred sixty-one million, five hundred sixty-six thousand, sixteen".