162938166336 has 315 divisors, whose sum is σ = 517455437655. Its totient is φ = 49019984640.

The previous prime is 162938166331. The next prime is 162938166343. The reversal of 162938166336 is 633661839261.

The square root of 162938166336 is 403656.

It is a perfect power (a square), and thus also a powerful number.

162938166336 is a `hidden beast` number, since 1 + 6 + 293 + 8 + 16 + 6 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (162938166331) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1172216955 + ... + 1172217093.

Almost surely, 2^162938166336 is an apocalyptic number.

162938166336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

162938166336 is the 403656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162938166336

162938166336 is an abundant number, since it is smaller than the sum of its proper divisors (354517271319).

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

162938166336 is an frugal number, since it uses more digits than its factorization.

162938166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 155 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 162938166336 in words is "one hundred sixty-two billion, nine hundred thirty-eight million, one hundred sixty-six thousand, three hundred thirty-six".