162056127744 has 432 divisors, whose sum is σ = 570281886720. Its totient is φ = 43259166720.

The previous prime is 162056127733. The next prime is 162056127757. The reversal of 162056127744 is 447721650261.

162056127744 is a `hidden beast` number, since 1 + 6 + 20 + 5 + 612 + 7 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 162056127744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14493484 + ... + 14504660.

It is an arithmetic number, because the mean of its divisors is an integer number (1320096960).

Almost surely, 2^162056127744 is an apocalyptic number.

162056127744 is a gapful number since it is divisible by the number (14) 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 162056127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285140943360).

162056127744 is an abundant number, since it is smaller than the sum of its proper divisors (408225758976).

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

162056127744 is a wasteful number, since it uses less digits than its factorization.

162056127744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 11249 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 162056127744 in words is "one hundred sixty-two billion, fifty-six million, one hundred twenty-seven thousand, seven hundred forty-four".