162682248408768 has 336 divisors, whose sum is σ = 529034424966880. Its totient is φ = 48983643371520.

The previous prime is 162682248408727. The next prime is 162682248408793. The reversal of 162682248408768 is 867804842286261.

162682248408768 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 8 + 2 + 2 + 484 + 0 + 87 + 68 = 666.

It is a super-3 number, since 3×162682248408768³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 162682248408696 and 162682248408705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30348930 + ... + 35304702.

Almost surely, 2^{162682248408768} is an apocalyptic number.

162682248408768 is a gapful number since it is divisible by the number (18) 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 162682248408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264517212483440).

162682248408768 is an abundant number, since it is smaller than the sum of its proper divisors (366352176558112).

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

162682248408768 is a wasteful number, since it uses less digits than its factorization.

162682248408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955973 (or 4955946 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 162682248408768 in words is "one hundred sixty-two trillion, six hundred eighty-two billion, two hundred forty-eight million, four hundred eight thousand, seven hundred sixty-eight".