165464000000 has 560 divisors, whose sum is σ = 467696825904. Its totient is φ = 58060800000.

The previous prime is 165463999999. The next prime is 165464000063. The reversal of 165464000000 is 464561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 165464000000 = 2000³ + 5400³ = 3800³ + 4800³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3847999979 + ... + 3848000021.

Almost surely, 2^165464000000 is an apocalyptic number.

165464000000 is a gapful number since it is divisible by the number (10) 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 165464000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233848412952).

165464000000 is an abundant number, since it is smaller than the sum of its proper divisors (302232825904).

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

165464000000 is an frugal number, since it uses more digits than its factorization.

165464000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 165464000000 its reverse (464561), we get a palindrome (165464464561).

The spelling of 165464000000 in words is "one hundred sixty-five billion, four hundred sixty-four million", and thus it is an aban number.