165108116448 has 720 divisors, whose sum is σ = 571573149840. Its totient is φ = 46555914240.

The previous prime is 165108116429. The next prime is 165108116449. The reversal of 165108116448 is 844611801561.

165108116448 is a `hidden beast` number, since 1 + 6 + 510 + 81 + 16 + 4 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165108116449) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 922391623 + ... + 922391801.

It is an arithmetic number, because the mean of its divisors is an integer number (793851597).

Almost surely, 2^165108116448 is an apocalyptic number.

165108116448 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 165108116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285786574920).

165108116448 is an abundant number, since it is smaller than the sum of its proper divisors (406465033392).

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

165108116448 is a wasteful number, since it uses less digits than its factorization.

165108116448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 165108116448 in words is "one hundred sixty-five billion, one hundred eight million, one hundred sixteen thousand, four hundred forty-eight".