162164879712 has 576 divisors, whose sum is σ = 562167889920. Its totient is φ = 45470937600.

The previous prime is 162164879671. The next prime is 162164879717. The reversal of 162164879712 is 217978461261.

162164879712 is a `hidden beast` number, since 1 + 62 + 1 + 6 + 487 + 97 + 12 = 666.

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 (162164879717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60985839 + ... + 60988497.

It is an arithmetic number, because the mean of its divisors is an integer number (975985920).

Almost surely, 2^162164879712 is an apocalyptic number.

162164879712 is a gapful number since it is divisible by the number (12) 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 162164879712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281083944960).

162164879712 is an abundant number, since it is smaller than the sum of its proper divisors (400003010208).

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

162164879712 is a wasteful number, since it uses less digits than its factorization.

162164879712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2729 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 162164879712 in words is "one hundred sixty-two billion, one hundred sixty-four million, eight hundred seventy-nine thousand, seven hundred twelve".