162246004080 has 320 divisors, whose sum is σ = 528734158848. Its totient is φ = 41119436800.

The previous prime is 162246004079. The next prime is 162246004091. The reversal of 162246004080 is 80400642261.

162246004080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×162246004080³ (a number of 35 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 60380497 + ... + 60383183.

Almost surely, 2^162246004080 is an apocalyptic number.

162246004080 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 162246004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264367079424).

162246004080 is an abundant number, since it is smaller than the sum of its proper divisors (366488154768).

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

162246004080 is a wasteful number, since it uses less digits than its factorization.

162246004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 162246004080 in words is "one hundred sixty-two billion, two hundred forty-six million, four thousand, eighty".