162006934662144 has 792 divisors, whose sum is σ = 562817396349936. Its totient is φ = 44573486284800.

The previous prime is 162006934662109. The next prime is 162006934662211. The reversal of 162006934662144 is 441266439600261.

162006934662144 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 0 + 6 + 9 + 3 + 4 + 6 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 884211247 + ... + 884394449.

Almost surely, 2^{162006934662144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162006934662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281408698174968).

162006934662144 is an abundant number, since it is smaller than the sum of its proper divisors (400810461687792).

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

162006934662144 is a wasteful number, since it uses less digits than its factorization.

162006934662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183325 (or 183293 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 162006934662144 in words is "one hundred sixty-two trillion, six billion, nine hundred thirty-four million, six hundred sixty-two thousand, one hundred forty-four".