65848341436416 has 3456 divisors, whose sum is σ = 271462018464000. Its totient is φ = 15680596377600.

The previous prime is 65848341436391. The next prime is 65848341436441. The reversal of 65848341436416 is 61463414384856.

65848341436416 is a `hidden beast` number, since 6 + 5 + 8 + 48 + 34 + 143 + 6 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (65848341436391) and next prime (65848341436441).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2124140046321 + ... + 2124140046351.

It is an arithmetic number, because the mean of its divisors is an integer number (78548037750).

Almost surely, 2^{65848341436416} is an apocalyptic number.

65848341436416 is a gapful number since it is divisible by the number (66) 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 65848341436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135731009232000).

65848341436416 is an abundant number, since it is smaller than the sum of its proper divisors (205613677027584).

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

65848341436416 is a wasteful number, since it uses less digits than its factorization.

65848341436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 73 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 65848341436416 in words is "sixty-five trillion, eight hundred forty-eight billion, three hundred forty-one million, four hundred thirty-six thousand, four hundred sixteen".