360114144 has 96 divisors (see below), whose sum is σ = 1071665280. Its totient is φ = 104965632.

The previous prime is 360114137. The next prime is 360114211. The reversal of 360114144 is 441411063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16119 + ... + 31305.

It is an arithmetic number, because the mean of its divisors is an integer number (11163180).

Almost surely, 2^360114144 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 360114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535832640).

360114144 is an abundant number, since it is smaller than the sum of its proper divisors (711551136).

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

360114144 is a wasteful number, since it uses less digits than its factorization.

360114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 360114144 is about 18976.6736811276. The cubic root of 360114144 is about 711.4538377735.

The spelling of 360114144 in words is "three hundred sixty million, one hundred fourteen thousand, one hundred forty-four".