162802918656 has 540 divisors, whose sum is σ = 568748248992. Its totient is φ = 46182721536.

The previous prime is 162802918651. The next prime is 162802918657. The reversal of 162802918656 is 656819208261.

162802918656 is a `hidden beast` number, since 1 + 628 + 0 + 2 + 9 + 1 + 8 + 6 + 5 + 6 = 666.

162802918656 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162802918651) 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 59 ways as a sum of consecutive naturals, for example, 165617941 + ... + 165618923.

Almost surely, 2^162802918656 is an apocalyptic number.

162802918656 is a gapful number since it is divisible by the number (16) 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 162802918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284374124496).

162802918656 is an abundant number, since it is smaller than the sum of its proper divisors (405945330336).

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

162802918656 is an equidigital number, since it uses as much as digits as its factorization.

162802918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 162802918656 in words is "one hundred sixty-two billion, eight hundred two million, nine hundred eighteen thousand, six hundred fifty-six".