165055156166656 has 112 divisors (see below), whose sum is σ = 377995959621504. Its totient is φ = 70597279678464.

The previous prime is 165055156166653. The next prime is 165055156166671. The reversal of 165055156166656 is 656661651550561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (165055156166653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25982866 + ... + 31705198.

It is an arithmetic number, because the mean of its divisors is an integer number (3374963925192).

Almost surely, 2^{165055156166656} is an apocalyptic number.

165055156166656 is a gapful number since it is divisible by the number (16) 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 165055156166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188997979810752).

165055156166656 is an abundant number, since it is smaller than the sum of its proper divisors (212940803454848).

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

165055156166656 is an frugal number, since it uses more digits than its factorization.

165055156166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722869 (or 5722845 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 64.

The spelling of 165055156166656 in words is "one hundred sixty-five trillion, fifty-five billion, one hundred fifty-six million, one hundred sixty-six thousand, six hundred fifty-six".