65048168448 has 432 divisors, whose sum is σ = 201172083840. Its totient is φ = 21015355392.

The previous prime is 65048168389. The next prime is 65048168483. The reversal of 65048168448 is 84486184056.

It is a happy number.

65048168448 is a `hidden beast` number, since 6 + 504 + 8 + 16 + 84 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 65048168394 and 65048168403.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631535565 + ... + 631535667.

It is an arithmetic number, because the mean of its divisors is an integer number (465676120).

Almost surely, 2^65048168448 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 65048168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100586041920).

65048168448 is an abundant number, since it is smaller than the sum of its proper divisors (136123915392).

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

65048168448 is an frugal number, since it uses more digits than its factorization.

65048168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 65048168448 in words is "sixty-five billion, forty-eight million, one hundred sixty-eight thousand, four hundred forty-eight".