361561536600306 has 288 divisors, whose sum is σ = 881170701840000. Its totient is φ = 98602654703616.

The previous prime is 361561536600301. The next prime is 361561536600349. The reversal of 361561536600306 is 603006635165163.

It is not an unprimeable number, because it can be changed into a prime (361561536600301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12100843075 + ... + 12100872953.

It is an arithmetic number, because the mean of its divisors is an integer number (3059620492500).

Almost surely, 2^{361561536600306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361561536600306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440585350920000).

361561536600306 is an abundant number, since it is smaller than the sum of its proper divisors (519609165239694).

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

361561536600306 is a wasteful number, since it uses less digits than its factorization.

361561536600306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30514 (or 30478 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

The spelling of 361561536600306 in words is "three hundred sixty-one trillion, five hundred sixty-one billion, five hundred thirty-six million, six hundred thousand, three hundred six".