165213457797248 has 192 divisors, whose sum is σ = 396199584106200. Its totient is φ = 68342722560000.

The previous prime is 165213457797247. The next prime is 165213457797253. The reversal of 165213457797248 is 842797754312561.

It can be written as a sum of positive squares in 4 ways, for example, as 108116573959744 + 57096883837504 = 10397912^2 + 7556248^2 .

It is not an unprimeable number, because it can be changed into a prime (165213457797247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585720248 + ... + 586002248.

Almost surely, 2^{165213457797248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165213457797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198099792053100).

165213457797248 is an abundant number, since it is smaller than the sum of its proper divisors (230986126308952).

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

165213457797248 is a wasteful number, since it uses less digits than its factorization.

165213457797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285279 (or 285260 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 71.

The spelling of 165213457797248 in words is "one hundred sixty-five trillion, two hundred thirteen billion, four hundred fifty-seven million, seven hundred ninety-seven thousand, two hundred forty-eight".