65465856456 has 192 divisors, whose sum is σ = 221411164800. Its totient is φ = 15696046080.

The previous prime is 65465856437. The next prime is 65465856457.

65465856456 is nontrivially palindromic in base 10.

65465856456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 65465856456.

It is not an unprimeable number, because it can be changed into a prime (65465856457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140400 + ... + 388128.

It is an arithmetic number, because the mean of its divisors is an integer number (1153183150).

Almost surely, 2^65465856456 is an apocalyptic number.

65465856456 is a gapful number since it is divisible by the number (66) 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 65465856456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110705582400).

65465856456 is an abundant number, since it is smaller than the sum of its proper divisors (155945308344).

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

65465856456 is a wasteful number, since it uses less digits than its factorization.

65465856456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247780 (or 247765 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 60.

The spelling of 65465856456 in words is "sixty-five billion, four hundred sixty-five million, eight hundred fifty-six thousand, four hundred fifty-six".