165642545376 has 960 divisors, whose sum is σ = 646391370240. Its totient is φ = 40759614720.

The previous prime is 165642545347. The next prime is 165642545407. The reversal of 165642545376 is 673545246561.

165642545376 is a `hidden beast` number, since 1 + 6 + 5 + 64 + 2 + 545 + 37 + 6 = 666.

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

Its product of digits (18144000) is a multiple of the sum of its prime divisors (42).

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 159 ways as a sum of consecutive naturals, for example, 8718028695 + ... + 8718028713.

It is an arithmetic number, because the mean of its divisors is an integer number (673324344).

Almost surely, 2^165642545376 is an apocalyptic number.

165642545376 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 165642545376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323195685120).

165642545376 is an abundant number, since it is smaller than the sum of its proper divisors (480748824864).

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

165642545376 is an frugal number, since it uses more digits than its factorization.

165642545376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 42 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 165642545376 in words is "one hundred sixty-five billion, six hundred forty-two million, five hundred forty-five thousand, three hundred seventy-six".