162382968000 has 1680 divisors, whose sum is σ = 701435935200. Its totient is φ = 36951552000.

The previous prime is 162382967939. The next prime is 162382968023. The reversal of 162382968000 is 869283261.

162382968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1489751946 + ... + 1489752054.

It is an arithmetic number, because the mean of its divisors is an integer number (417521390).

Almost surely, 2^162382968000 is an apocalyptic number.

162382968000 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 162382968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350717967600).

162382968000 is an abundant number, since it is smaller than the sum of its proper divisors (539052967200).

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

162382968000 is a wasteful number, since it uses less digits than its factorization.

162382968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 162382968000 in words is "one hundred sixty-two billion, three hundred eighty-two million, nine hundred sixty-eight thousand".