165261446000 has 160 divisors (see below), whose sum is σ = 463123215360. Its totient is φ = 55862688000.

The previous prime is 165261445991. The next prime is 165261446011. The reversal of 165261446000 is 644162561.

165261446000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165261446000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 910871 + ... + 1077129.

It is an arithmetic number, because the mean of its divisors is an integer number (2894520096).

Almost surely, 2^165261446000 is an apocalyptic number.

165261446000 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 165261446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231561607680).

165261446000 is an abundant number, since it is smaller than the sum of its proper divisors (297861769360).

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

165261446000 is a wasteful number, since it uses less digits than its factorization.

165261446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166360 (or 166344 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 165261446000 in words is "one hundred sixty-five billion, two hundred sixty-one million, four hundred forty-six thousand".