361696186944 has 280 divisors, whose sum is σ = 1103709573120. Its totient is φ = 117061023744.

The previous prime is 361696186927. The next prime is 361696186949. The reversal of 361696186944 is 449681696163.

361696186944 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 9 + 618 + 6 + 9 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (361696186949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30937452 + ... + 30949140.

It is an arithmetic number, because the mean of its divisors is an integer number (3941819904).

Almost surely, 2^361696186944 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 361696186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551854786560).

361696186944 is an abundant number, since it is smaller than the sum of its proper divisors (742013386176).

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

361696186944 is a wasteful number, since it uses less digits than its factorization.

361696186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11868 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 361696186944 in words is "three hundred sixty-one billion, six hundred ninety-six million, one hundred eighty-six thousand, nine hundred forty-four".