165361044464640 has 704 divisors, whose sum is σ = 630265037817600. Its totient is φ = 40987171749888.

The previous prime is 165361044464519. The next prime is 165361044464687. The reversal of 165361044464640 is 46464440163561.

165361044464640 is a `hidden beast` number, since 1 + 6 + 5 + 36 + 104 + 4 + 46 + 464 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138613744 + ... + 139801616.

Almost surely, 2^{165361044464640} is an apocalyptic number.

165361044464640 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 165361044464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315132518908800).

165361044464640 is an abundant number, since it is smaller than the sum of its proper divisors (464903993352960).

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

165361044464640 is a wasteful number, since it uses less digits than its factorization.

165361044464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187979 (or 1187955 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 165361044464640 in words is "one hundred sixty-five trillion, three hundred sixty-one billion, forty-four million, four hundred sixty-four thousand, six hundred forty".