165331867124736 has 297 divisors, whose sum is σ = 516989637994869. Its totient is φ = 50866406203392.

The previous prime is 165331867124689. The next prime is 165331867124797. The reversal of 165331867124736 is 637421768133561.

The square root of 165331867124736 is 12858144.

It is a perfect power (a square), and thus also a powerful number.

165331867124736 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 318 + 6 + 71 + 247 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24457376793600 + 140874490331136 = 4945440^2 + 11869056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16046958561 + ... + 16046968863.

Almost surely, 2^{165331867124736} is an apocalyptic number.

165331867124736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165331867124736 is the 12858144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165331867124736

165331867124736 is an abundant number, since it is smaller than the sum of its proper divisors (351657770870133).

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

165331867124736 is an frugal number, since it uses more digits than its factorization.

165331867124736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20658 (or 10321 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 165331867124736 in words is "one hundred sixty-five trillion, three hundred thirty-one billion, eight hundred sixty-seven million, one hundred twenty-four thousand, seven hundred thirty-six".