165446211072 has 320 divisors, whose sum is σ = 464039870976. Its totient is φ = 52332134400.

The previous prime is 165446211059. The next prime is 165446211131. The reversal of 165446211072 is 270112644561.

It is a self number, because there is not a number n which added to its sum of digits gives 165446211072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528581988 + ... + 528582300.

Almost surely, 2^165446211072 is an apocalyptic number.

165446211072 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 165446211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232019935488).

165446211072 is an abundant number, since it is smaller than the sum of its proper divisors (298593659904).

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

165446211072 is a wasteful number, since it uses less digits than its factorization.

165446211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 165446211072 in words is "one hundred sixty-five billion, four hundred forty-six million, two hundred eleven thousand, seventy-two".