165712834368 has 224 divisors, whose sum is σ = 499902480000. Its totient is φ = 53798031360.

The previous prime is 165712834367. The next prime is 165712834369. The reversal of 165712834368 is 863438217561.

165712834368 is a `hidden beast` number, since 1 + 6 + 571 + 2 + 8 + 3 + 4 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (165712834367) and next prime (165712834369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165712834367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50229583 + ... + 50232881.

It is an arithmetic number, because the mean of its divisors is an integer number (2231707500).

Almost surely, 2^165712834368 is an apocalyptic number.

165712834368 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 165712834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249951240000).

165712834368 is an abundant number, since it is smaller than the sum of its proper divisors (334189645632).

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

165712834368 is a wasteful number, since it uses less digits than its factorization.

165712834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4054 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 165712834368 in words is "one hundred sixty-five billion, seven hundred twelve million, eight hundred thirty-four thousand, three hundred sixty-eight".