165689641152 has 336 divisors, whose sum is σ = 568502413920. Its totient is φ = 47182915584.

The previous prime is 165689641147. The next prime is 165689641157. The reversal of 165689641152 is 251146986561.

It is a happy number.

165689641152 is a `hidden beast` number, since 1 + 6 + 568 + 9 + 64 + 1 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (165689641147) and next prime (165689641157).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (165689641157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26837938 + ... + 26844110.

It is an arithmetic number, because the mean of its divisors is an integer number (1691971470).

Almost surely, 2^165689641152 is an apocalyptic number.

165689641152 is a gapful number since it is divisible by the number (12) 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 165689641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284251206960).

165689641152 is an abundant number, since it is smaller than the sum of its proper divisors (402812772768).

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

165689641152 is a wasteful number, since it uses less digits than its factorization.

165689641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6502 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 165689641152 in words is "one hundred sixty-five billion, six hundred eighty-nine million, six hundred forty-one thousand, one hundred fifty-two".