162085060558848 has 720 divisors, whose sum is σ = 546318266726400. Its totient is φ = 42457029672960.

The previous prime is 162085060558843. The next prime is 162085060558873. The reversal of 162085060558848 is 848855060580261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162085060558843) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1418518743 + ... + 1418633001.

Almost surely, 2^{162085060558848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162085060558848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273159133363200).

162085060558848 is an abundant number, since it is smaller than the sum of its proper divisors (384233206167552).

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

162085060558848 is a wasteful number, since it uses less digits than its factorization.

162085060558848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114354 (or 114321 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 66.

The spelling of 162085060558848 in words is "one hundred sixty-two trillion, eighty-five billion, sixty million, five hundred fifty-eight thousand, eight hundred forty-eight".