65471217456 has 80 divisors (see below), whose sum is σ = 177672556800. Its totient is φ = 20734728960.

The previous prime is 65471217451. The next prime is 65471217457.

65471217456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65471217456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65471217451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34510 + ... + 363501.

It is an arithmetic number, because the mean of its divisors is an integer number (2220906960).

Almost surely, 2^65471217456 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 65471217456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88836278400).

65471217456 is an abundant number, since it is smaller than the sum of its proper divisors (112201339344).

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

65471217456 is a wasteful number, since it uses less digits than its factorization.

65471217456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398194 (or 398188 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The spelling of 65471217456 in words is "sixty-five billion, four hundred seventy-one million, two hundred seventeen thousand, four hundred fifty-six".