65844960048 has 480 divisors, whose sum is σ = 233524339200. Its totient is φ = 17392472064.

The previous prime is 65844960019. The next prime is 65844960089. The reversal of 65844960048 is 84006944856.

65844960048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 65844959976 and 65844960003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51561586 + ... + 51562862.

It is an arithmetic number, because the mean of its divisors is an integer number (486509040).

Almost surely, 2^65844960048 is an apocalyptic number.

65844960048 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 65844960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116762169600).

65844960048 is an abundant number, since it is smaller than the sum of its proper divisors (167679379152).

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

65844960048 is a wasteful number, since it uses less digits than its factorization.

65844960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 65844960048 in words is "sixty-five billion, eight hundred forty-four million, nine hundred sixty thousand, forty-eight".