162948290112 has 448 divisors, whose sum is σ = 523323555840. Its totient is φ = 49520812032.

The previous prime is 162948290101. The next prime is 162948290147. The reversal of 162948290112 is 211092849261.

It is a happy number.

162948290112 is a `hidden beast` number, since 1 + 629 + 4 + 8 + 2 + 9 + 0 + 1 + 12 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 147731353 + ... + 147732455.

Almost surely, 2^162948290112 is an apocalyptic number.

162948290112 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 162948290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261661777920).

162948290112 is an abundant number, since it is smaller than the sum of its proper divisors (360375265728).

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

162948290112 is a wasteful number, since it uses less digits than its factorization.

162948290112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 162948290112 in words is "one hundred sixty-two billion, nine hundred forty-eight million, two hundred ninety thousand, one hundred twelve".