165377283456000 has 4224 divisors, whose sum is σ = 731000303953920. Its totient is φ = 32232701952000.

The previous prime is 165377283455957. The next prime is 165377283456079. The reversal of 165377283456000 is 654382773561.

165377283456000 is digitally balanced in base 3, 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 (4224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1517222783946 + ... + 1517222784054.

It is an arithmetic number, because the mean of its divisors is an integer number (173058784080).

Almost surely, 2^{165377283456000} is an apocalyptic number.

165377283456000 is a gapful number since it is divisible by the number (10) 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 165377283456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365500151976960).

165377283456000 is an abundant number, since it is smaller than the sum of its proper divisors (565623020497920).

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

165377283456000 is a wasteful number, since it uses less digits than its factorization.

165377283456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 165377283456000 in words is "one hundred sixty-five trillion, three hundred seventy-seven billion, two hundred eighty-three million, four hundred fifty-six thousand".