65312221356 has 72 divisors (see below), whose sum is σ = 171673145280. Its totient is φ = 20911048704.

The previous prime is 65312221301. The next prime is 65312221417.

65312221356 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65312221356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39421 + ... + 363563.

It is an arithmetic number, because the mean of its divisors is an integer number (2384349240).

Almost surely, 2^65312221356 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 65312221356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85836572640).

65312221356 is an abundant number, since it is smaller than the sum of its proper divisors (106360923924).

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

65312221356 is a wasteful number, since it uses less digits than its factorization.

65312221356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324375 (or 324370 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 65312221356 in words is "sixty-five billion, three hundred twelve million, two hundred twenty-one thousand, three hundred fifty-six".