65832091248 has 320 divisors, whose sum is σ = 220305899520. Its totient is φ = 16437120000.

The previous prime is 65832091243. The next prime is 65832091279. The reversal of 65832091248 is 84219023856.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 65832091197 and 65832091206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65832091243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26901961 + ... + 26904407.

It is an arithmetic number, because the mean of its divisors is an integer number (688455936).

Almost surely, 2^65832091248 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 65832091248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110152949760).

65832091248 is an abundant number, since it is smaller than the sum of its proper divisors (154473808272).

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

65832091248 is a wasteful number, since it uses less digits than its factorization.

65832091248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 65832091248 in words is "sixty-five billion, eight hundred thirty-two million, ninety-one thousand, two hundred forty-eight".