361652138568 has 192 divisors, whose sum is σ = 1143264844800. Its totient is φ = 101135623680.

The previous prime is 361652138531. The next prime is 361652138569. The reversal of 361652138568 is 865831256163.

It is a happy number.

361652138568 is a `hidden beast` number, since 3 + 6 + 1 + 65 + 2 + 13 + 8 + 568 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (361652138569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11229673 + ... + 11261831.

It is an arithmetic number, because the mean of its divisors is an integer number (5954504400).

Almost surely, 2^361652138568 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 361652138568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571632422400).

361652138568 is an abundant number, since it is smaller than the sum of its proper divisors (781612706232).

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

361652138568 is a wasteful number, since it uses less digits than its factorization.

361652138568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32652 (or 32645 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 361652138568 in words is "three hundred sixty-one billion, six hundred fifty-two million, one hundred thirty-eight thousand, five hundred sixty-eight".