162223776000 has 1728 divisors, whose sum is σ = 714229850880. Its totient is φ = 35942400000.

The previous prime is 162223775999. The next prime is 162223776031. The reversal of 162223776000 is 677322261.

It is a happy number.

162223776000 is a `hidden beast` number, since 1 + 6 + 22 + 23 + 7 + 7 + 600 + 0 = 666.

162223776000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1606175950 + ... + 1606176050.

It is an arithmetic number, because the mean of its divisors is an integer number (413327460).

Almost surely, 2^162223776000 is an apocalyptic number.

162223776000 is a gapful number since it is divisible by the number (10) 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 162223776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357114925440).

162223776000 is an abundant number, since it is smaller than the sum of its proper divisors (552006074880).

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

162223776000 is a wasteful number, since it uses less digits than its factorization.

162223776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 162223776000 in words is "one hundred sixty-two billion, two hundred twenty-three million, seven hundred seventy-six thousand".