165465164400 has 120 divisors (see below), whose sum is σ = 530168708400. Its totient is φ = 44113336320.

The previous prime is 165465164341. The next prime is 165465164429. The reversal of 165465164400 is 4461564561.

It is a happy number.

165465164400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5761276 + ... + 5789924.

It is an arithmetic number, because the mean of its divisors is an integer number (4418072570).

Almost surely, 2^165465164400 is an apocalyptic number.

165465164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165465164400 is an abundant number, since it is smaller than the sum of its proper divisors (364703544000).

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

165465164400 is a wasteful number, since it uses less digits than its factorization.

165465164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33483 (or 33472 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 165465164400 in words is "one hundred sixty-five billion, four hundred sixty-five million, one hundred sixty-four thousand, four hundred".