360118290438144 has 1152 divisors, whose sum is σ = 1257920924682240. Its totient is φ = 100791690854400.

The previous prime is 360118290438143. The next prime is 360118290438149. The reversal of 360118290438144 is 441834092811063.

360118290438144 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 1 + 82 + 90 + 438 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360118290438143) 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 95 ways as a sum of consecutive naturals, for example, 168200975314 + ... + 168200977454.

It is an arithmetic number, because the mean of its divisors is an integer number (1091945247120).

Almost surely, 2^{360118290438144} 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 360118290438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628960462341120).

360118290438144 is an abundant number, since it is smaller than the sum of its proper divisors (897802634244096).

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

360118290438144 is an equidigital number, since it uses as much as digits as its factorization.

360118290438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 360118290438144 in words is "three hundred sixty trillion, one hundred eighteen billion, two hundred ninety million, four hundred thirty-eight thousand, one hundred forty-four".