165001242212352 has 2592 divisors, whose sum is σ = 658038559847760. Its totient is φ = 40934257459200.

The previous prime is 165001242212351. The next prime is 165001242212357. The reversal of 165001242212352 is 253212242100561.

165001242212352 is a `hidden beast` number, since 1 + 6 + 50 + 0 + 1 + 2 + 42 + 212 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×165001242212352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165001242212351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 91616457852 + ... + 91616459652.

Almost surely, 2^{165001242212352} is an apocalyptic number.

165001242212352 is a gapful number since it is divisible by the number (12) 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 165001242212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329019279923880).

165001242212352 is an abundant number, since it is smaller than the sum of its proper divisors (493037317635408).

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

165001242212352 is a wasteful number, since it uses less digits than its factorization.

165001242212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 165001242212352 in words is "one hundred sixty-five trillion, one billion, two hundred forty-two million, two hundred twelve thousand, three hundred fifty-two".