165459512413440 has 864 divisors, whose sum is σ = 675557943330816. Its totient is φ = 36588584632320.

The previous prime is 165459512413427. The next prime is 165459512413469. The reversal of 165459512413440 is 44314215954561.

165459512413440 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 5 + 9 + 51 + 241 + 344 + 0 = 666.

165459512413440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10991788954 + ... + 10991804006.

It is an arithmetic number, because the mean of its divisors is an integer number (781895767744).

Almost surely, 2^{165459512413440} is an apocalyptic number.

165459512413440 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 165459512413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337778971665408).

165459512413440 is an abundant number, since it is smaller than the sum of its proper divisors (510098430917376).

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

165459512413440 is a wasteful number, since it uses less digits than its factorization.

165459512413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19498 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 165459512413440 in words is "one hundred sixty-five trillion, four hundred fifty-nine billion, five hundred twelve million, four hundred thirteen thousand, four hundred forty".