165145464505440 has 144 divisors (see below), whose sum is σ = 574192084637808. Its totient is φ = 43207869938688.

The previous prime is 165145464505363. The next prime is 165145464505457. The reversal of 165145464505440 is 44505464541561.

165145464505440 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 5 + 46 + 4 + 50 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1081851514 + ... + 1082004153.

It is an arithmetic number, because the mean of its divisors is an integer number (3987445032207).

Almost surely, 2^{165145464505440} is an apocalyptic number.

165145464505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165145464505440 is an abundant number, since it is smaller than the sum of its proper divisors (409046620132368).

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

165145464505440 is a wasteful number, since it uses less digits than its factorization.

165145464505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163855741 (or 2163855730 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 165145464505440 in words is "one hundred sixty-five trillion, one hundred forty-five billion, four hundred sixty-four million, five hundred five thousand, four hundred forty".