165444512046 has 64 divisors (see below), whose sum is σ = 373574592000. Its totient is φ = 48385500800.

The previous prime is 165444512027. The next prime is 165444512069. The reversal of 165444512046 is 640215444561.

It is a happy number.

It is a super-2 number, since 2×165444512046² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165444511989 and 165444512007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4861831 + ... + 4895741.

It is an arithmetic number, because the mean of its divisors is an integer number (5837103000).

Almost surely, 2^165444512046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165444512046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186787296000).

165444512046 is an abundant number, since it is smaller than the sum of its proper divisors (208130079954).

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

165444512046 is a wasteful number, since it uses less digits than its factorization.

165444512046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36505.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 165444512046 in words is "one hundred sixty-five billion, four hundred forty-four million, five hundred twelve thousand, forty-six".