162468866880 has 336 divisors, whose sum is σ = 599514289920. Its totient is φ = 41830483968.

The previous prime is 162468866789. The next prime is 162468866893. The reversal of 162468866880 is 88668864261.

162468866880 is a `hidden beast` number, since 16 + 2 + 468 + 86 + 6 + 8 + 80 = 666.

It is a super-2 number, since 2×162468866880² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2219017 + ... + 2291063.

It is an arithmetic number, because the mean of its divisors is an integer number (1784268720).

Almost surely, 2^162468866880 is an apocalyptic number.

162468866880 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 162468866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299757144960).

162468866880 is an abundant number, since it is smaller than the sum of its proper divisors (437045423040).

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

162468866880 is an equidigital number, since it uses as much as digits as its factorization.

162468866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72108 (or 72086 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 162468866880 in words is "one hundred sixty-two billion, four hundred sixty-eight million, eight hundred sixty-six thousand, eight hundred eighty".