65468485571328 has 2592 divisors, whose sum is σ = 249364402560000. Its totient is φ = 17020825436160.

The previous prime is 65468485571303. The next prime is 65468485571329. The reversal of 65468485571328 is 82317558486456.

65468485571328 is a `hidden beast` number, since 6 + 5 + 4 + 6 + 8 + 48 + 5 + 571 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×65468485571328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1548288000) is a multiple of the sum of its prime divisors (500).

It is not an unprimeable number, because it can be changed into a prime (65468485571329) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187588783698 + ... + 187588784046.

Almost surely, 2^{65468485571328} 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 65468485571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124682201280000).

65468485571328 is an abundant number, since it is smaller than the sum of its proper divisors (183895916988672).

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

65468485571328 is a wasteful number, since it uses less digits than its factorization.

65468485571328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 500 counting only the distinct ones).

The product of its digits is 1548288000, while the sum is 72.

The spelling of 65468485571328 in words is "sixty-five trillion, four hundred sixty-eight billion, four hundred eighty-five million, five hundred seventy-one thousand, three hundred twenty-eight".