162022146048 has 600 divisors, whose sum is σ = 561797292672. Its totient is φ = 45578059776.

The previous prime is 162022146023. The next prime is 162022146061. The reversal of 162022146048 is 840641220261.

162022146048 is a `hidden beast` number, since 1 + 6 + 20 + 2 + 21 + 4 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 994000815 + ... + 994000977.

Almost surely, 2^162022146048 is an apocalyptic number.

162022146048 is a gapful number since it is divisible by the number (18) 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 162022146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280898646336).

162022146048 is an abundant number, since it is smaller than the sum of its proper divisors (399775146624).

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

162022146048 is an equidigital number, since it uses as much as digits as its factorization.

162022146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 162022146048 in words is "one hundred sixty-two billion, twenty-two million, one hundred forty-six thousand, forty-eight".