222513848064000 has 1728 divisors, whose sum is σ = 839792863990080. Its totient is φ = 58842995097600.

The previous prime is 222513848063999. The next prime is 222513848064017. The reversal of 222513848064000 is 460848315222.

222513848064000 is a `hidden beast` number, since 2 + 225 + 1 + 384 + 8 + 0 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 143 ways as a sum of consecutive naturals, for example, 230107391517 + ... + 230107392483.

It is an arithmetic number, because the mean of its divisors is an integer number (485991240735).

Almost surely, 2^{222513848064000} is an apocalyptic number.

222513848064000 is a gapful number since it is divisible by the number (20) 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 222513848064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419896431995040).

222513848064000 is an abundant number, since it is smaller than the sum of its proper divisors (617279015926080).

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

222513848064000 is an frugal number, since it uses more digits than its factorization.

222513848064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 222513848064000 in words is "two hundred twenty-two trillion, five hundred thirteen billion, eight hundred forty-eight million, sixty-four thousand".