162431586144 has 240 divisors, whose sum is σ = 486973949616. Its totient is φ = 53100748800.

The previous prime is 162431586113. The next prime is 162431586253. The reversal of 162431586144 is 441685134261.

162431586144 is a `hidden beast` number, since 1 + 6 + 24 + 3 + 1 + 5 + 8 + 614 + 4 = 666.

162431586144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 162431586144.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 41851084 + ... + 41854964.

Almost surely, 2^162431586144 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 162431586144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243486974808).

162431586144 is an abundant number, since it is smaller than the sum of its proper divisors (324542363472).

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

162431586144 is a wasteful number, since it uses less digits than its factorization.

162431586144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4194 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 162431586144 in words is "one hundred sixty-two billion, four hundred thirty-one million, five hundred eighty-six thousand, one hundred forty-four".