165430944000 has 1152 divisors, whose sum is σ = 739254297600. Its totient is φ = 35566387200.

The previous prime is 165430943987. The next prime is 165430944059. The reversal of 165430944000 is 449034561.

165430944000 is a `hidden beast` number, since 165 + 4 + 3 + 0 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×165430944000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102815196 + ... + 102816804.

It is an arithmetic number, because the mean of its divisors is an integer number (641713800).

Almost surely, 2^165430944000 is an apocalyptic number.

165430944000 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 165430944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369627148800).

165430944000 is an abundant number, since it is smaller than the sum of its proper divisors (573823353600).

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

165430944000 is a wasteful number, since it uses less digits than its factorization.

165430944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 165430944000 its reverse (449034561), we get a palindrome (165879978561).

The spelling of 165430944000 in words is "one hundred sixty-five billion, four hundred thirty million, nine hundred forty-four thousand".