65836705873848 has 1024 divisors, whose sum is σ = 231817358868480. Its totient is φ = 15076233216000.

The previous prime is 65836705873843. The next prime is 65836705873867. The reversal of 65836705873848 is 84837850763856.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65836705873843) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8126980998 + ... + 8126989098.

It is an arithmetic number, because the mean of its divisors is an integer number (226384139520).

Almost surely, 2^{65836705873848} is an apocalyptic number.

65836705873848 is a gapful number since it is divisible by the number (68) 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 65836705873848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115908679434240).

65836705873848 is an abundant number, since it is smaller than the sum of its proper divisors (165980652994632).

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

65836705873848 is a wasteful number, since it uses less digits than its factorization.

65836705873848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8504 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 78.

The spelling of 65836705873848 in words is "sixty-five trillion, eight hundred thirty-six billion, seven hundred five million, eight hundred seventy-three thousand, eight hundred forty-eight".