360224904134112 has 96 divisors (see below), whose sum is σ = 959045642037504. Its totient is φ = 118366846080000.

The previous prime is 360224904134059. The next prime is 360224904134113. The reversal of 360224904134112 is 211431409422063.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360224904134113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43944363 + ... + 51493269.

It is an arithmetic number, because the mean of its divisors is an integer number (9990058771224).

Almost surely, 2^{360224904134112} is an apocalyptic number.

360224904134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360224904134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479522821018752).

360224904134112 is an abundant number, since it is smaller than the sum of its proper divisors (598820737903392).

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

360224904134112 is a wasteful number, since it uses less digits than its factorization.

360224904134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555992 (or 7555984 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 360224904134112 in words is "three hundred sixty trillion, two hundred twenty-four billion, nine hundred four million, one hundred thirty-four thousand, one hundred twelve".