165206090448 has 240 divisors, whose sum is σ = 564513630720. Its totient is φ = 44049671424.

The previous prime is 165206090443. The next prime is 165206090461. The reversal of 165206090448 is 844090602561.

165206090448 is a `hidden beast` number, since 1 + 65 + 2 + 0 + 60 + 90 + 448 = 666.

165206090448 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165206090448² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165206090443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218811 + ... + 1347557.

It is an arithmetic number, because the mean of its divisors is an integer number (2352140128).

Almost surely, 2^165206090448 is an apocalyptic number.

165206090448 is a gapful number since it is divisible by the number (18) 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 165206090448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282256815360).

165206090448 is an abundant number, since it is smaller than the sum of its proper divisors (399307540272).

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

165206090448 is a wasteful number, since it uses less digits than its factorization.

165206090448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128854 (or 128845 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 165206090448 in words is "one hundred sixty-five billion, two hundred six million, ninety thousand, four hundred forty-eight".