165381065133408 has 72 divisors (see below), whose sum is σ = 497967251280408. Its totient is φ = 51884255726592.

The previous prime is 165381065133367. The next prime is 165381065133419. The reversal of 165381065133408 is 804331560183561.

165381065133408 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 81 + 0 + 6 + 513 + 3 + 40 + 8 = 666.

165381065133408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16889401266 + ... + 16889411057.

It is an arithmetic number, because the mean of its divisors is an integer number (6916211823339).

Almost surely, 2^{165381065133408} is an apocalyptic number.

165381065133408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165381065133408 is an abundant number, since it is smaller than the sum of its proper divisors (332586186147000).

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

165381065133408 is a wasteful number, since it uses less digits than its factorization.

165381065133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33778812356 (or 33778812345 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 165381065133408 in words is "one hundred sixty-five trillion, three hundred eighty-one billion, sixty-five million, one hundred thirty-three thousand, four hundred eight".