360223351956000 has 1440 divisors, whose sum is σ = 1436251648719888. Its totient is φ = 88386387148800.

The previous prime is 360223351955989. The next prime is 360223351956037. The reversal of 360223351956000 is 659153322063.

It is a happy number.

360223351956000 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 2 + 3 + 35 + 1 + 9 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 345655175974416 + 14568175981584 = 18591804^2 + 3816828^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17357641624 + ... + 17357662376.

Almost surely, 2^{360223351956000} is an apocalyptic number.

360223351956000 is a gapful number since it is divisible by the number (30) 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 360223351956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718125824359944).

360223351956000 is an abundant number, since it is smaller than the sum of its proper divisors (1076028296763888).

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

360223351956000 is a wasteful number, since it uses less digits than its factorization.

360223351956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 360223351956000 in words is "three hundred sixty trillion, two hundred twenty-three billion, three hundred fifty-one million, nine hundred fifty-six thousand".