162948806203392 has 960 divisors, whose sum is σ = 546212314327680. Its totient is φ = 48168699494400.

The previous prime is 162948806203373. The next prime is 162948806203409. The reversal of 162948806203392 is 293302608849261.

It is a happy number.

162948806203392 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 488 + 0 + 62 + 0 + 3 + 3 + 92 = 666.

It is a super-3 number, since 3×162948806203392³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18180159103 + ... + 18180168065.

It is an arithmetic number, because the mean of its divisors is an integer number (568971160758).

Almost surely, 2^{162948806203392} is an apocalyptic number.

162948806203392 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 162948806203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273106157163840).

162948806203392 is an abundant number, since it is smaller than the sum of its proper divisors (383263508124288).

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

162948806203392 is an frugal number, since it uses more digits than its factorization.

162948806203392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 162948806203392 in words is "one hundred sixty-two trillion, nine hundred forty-eight billion, eight hundred six million, two hundred three thousand, three hundred ninety-two".