65448255198144 has 448 divisors, whose sum is σ = 218946276864000. Its totient is φ = 16789979676672.

The previous prime is 65448255198133. The next prime is 65448255198169. The reversal of 65448255198144 is 44189155284456.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2811460297 + ... + 2811483575.

It is an arithmetic number, because the mean of its divisors is an integer number (488719368000).

Almost surely, 2^{65448255198144} is an apocalyptic number.

65448255198144 is a gapful number since it is divisible by the number (64) 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 65448255198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109473138432000).

65448255198144 is an abundant number, since it is smaller than the sum of its proper divisors (153498021665856).

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

65448255198144 is a wasteful number, since it uses less digits than its factorization.

65448255198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27700 (or 27690 counting only the distinct ones).

The product of its digits is 221184000, while the sum is 66.

The spelling of 65448255198144 in words is "sixty-five trillion, four hundred forty-eight billion, two hundred fifty-five million, one hundred ninety-eight thousand, one hundred forty-four".