65225433452256 has 1152 divisors, whose sum is σ = 252083235801600. Its totient is φ = 16204242862080.

The previous prime is 65225433452219. The next prime is 65225433452281.

65225433452256 is a `hidden beast` number, since 6 + 5 + 2 + 2 + 5 + 4 + 334 + 52 + 256 = 666.

65225433452256 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1445032120 + ... + 1445077256.

It is an arithmetic number, because the mean of its divisors is an integer number (218822253300).

Almost surely, 2^{65225433452256} is an apocalyptic number.

65225433452256 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 65225433452256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126041617900800).

65225433452256 is an abundant number, since it is smaller than the sum of its proper divisors (186857802349344).

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

65225433452256 is a wasteful number, since it uses less digits than its factorization.

65225433452256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45317 (or 45296 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

It can be divided in two parts, 6522543 and 3452256, that added together give a palindrome (9974799).

The spelling of 65225433452256 in words is "sixty-five trillion, two hundred twenty-five billion, four hundred thirty-three million, four hundred fifty-two thousand, two hundred fifty-six".