165801512448 has 1440 divisors, whose sum is σ = 643539248352. Its totient is φ = 40343961600.

The previous prime is 165801512447. The next prime is 165801512501. The reversal of 165801512448 is 844215108561.

165801512448 is a `hidden beast` number, since 1 + 6 + 58 + 0 + 151 + 2 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165801512447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4043939308 + ... + 4043939348.

Almost surely, 2^165801512448 is an apocalyptic number.

165801512448 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 165801512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321769624176).

165801512448 is an abundant number, since it is smaller than the sum of its proper divisors (477737735904).

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

165801512448 is a wasteful number, since it uses less digits than its factorization.

165801512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 165801512448 in words is "one hundred sixty-five billion, eight hundred one million, five hundred twelve thousand, four hundred forty-eight".