165006476544 has 576 divisors, whose sum is σ = 554811586560. Its totient is φ = 42383278080.

The previous prime is 165006476497. The next prime is 165006476561. The reversal of 165006476544 is 445674600561.

165006476544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 165006476493 and 165006476502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613406842 + ... + 613407110.

It is an arithmetic number, because the mean of its divisors is an integer number (963214560).

Almost surely, 2^165006476544 is an apocalyptic number.

165006476544 is a gapful number since it is divisible by the number (14) 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 165006476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277405793280).

165006476544 is an abundant number, since it is smaller than the sum of its proper divisors (389805110016).

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

165006476544 is a wasteful number, since it uses less digits than its factorization.

165006476544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 165006476544 in words is "one hundred sixty-five billion, six million, four hundred seventy-six thousand, five hundred forty-four".