360541306944 has 504 divisors, whose sum is σ = 1310330810880. Its totient is φ = 93934245888.

The previous prime is 360541306943. The next prime is 360541306963. The reversal of 360541306944 is 449603145063.

360541306944 is a `hidden beast` number, since 3 + 6 + 0 + 541 + 3 + 0 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 360541306944.

It is not an unprimeable number, because it can be changed into a prime (360541306943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30447777 + ... + 30459615.

It is an arithmetic number, because the mean of its divisors is an integer number (2599862720).

Almost surely, 2^360541306944 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 360541306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655165405440).

360541306944 is an abundant number, since it is smaller than the sum of its proper divisors (949789503936).

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

360541306944 is a wasteful number, since it uses less digits than its factorization.

360541306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11967 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 360541306944 in words is "three hundred sixty billion, five hundred forty-one million, three hundred six thousand, nine hundred forty-four".