165131616266592 has 96 divisors (see below), whose sum is σ = 437128679030400. Its totient is φ = 54580319536128.

The previous prime is 165131616266501. The next prime is 165131616266593. The reversal of 165131616266592 is 295662616131561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165131616266593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3146983 + ... + 18443609.

It is an arithmetic number, because the mean of its divisors is an integer number (4553423739900).

Almost surely, 2^{165131616266592} is an apocalyptic number.

165131616266592 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 165131616266592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218564339515200).

165131616266592 is an abundant number, since it is smaller than the sum of its proper divisors (271997062763808).

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

165131616266592 is a wasteful number, since it uses less digits than its factorization.

165131616266592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15297588 (or 15297580 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 60.

The spelling of 165131616266592 in words is "one hundred sixty-five trillion, one hundred thirty-one billion, six hundred sixteen million, two hundred sixty-six thousand, five hundred ninety-two".