165556777344 has 256 divisors, whose sum is σ = 512731054080. Its totient is φ = 46356129792.

The previous prime is 165556777333. The next prime is 165556777357. The reversal of 165556777344 is 443777655561.

165556777344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 28331287 + ... + 28337129.

It is an arithmetic number, because the mean of its divisors is an integer number (2002855680).

Almost surely, 2^165556777344 is an apocalyptic number.

165556777344 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 165556777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256365527040).

165556777344 is an abundant number, since it is smaller than the sum of its proper divisors (347174276736).

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

165556777344 is a wasteful number, since it uses less digits than its factorization.

165556777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6065 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 60.

The spelling of 165556777344 in words is "one hundred sixty-five billion, five hundred fifty-six million, seven hundred seventy-seven thousand, three hundred forty-four".