65631223716100 has 81 divisors (see below), whose sum is σ = 165673391951487. Its totient is φ = 22501939414080.

The previous prime is 65631223716059. The next prime is 65631223716101. The reversal of 65631223716100 is 161732213656.

The square root of 65631223716100 is 8101310.

It is a perfect power (a square), and thus also a powerful number.

65631223716100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29837136426244 + 35794087289856 = 5462338^2 + 5982816^2 .

It is not an unprimeable number, because it can be changed into a prime (65631223716101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 567033834 + ... + 567149566.

Almost surely, 2^{65631223716100} is an apocalyptic number.

65631223716100 is the 8101310-th square number.

It is an amenable number.

65631223716100 is an abundant number, since it is smaller than the sum of its proper divisors (100042168235387).

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

65631223716100 is an frugal number, since it uses more digits than its factorization.

65631223716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231494 (or 115747 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

Adding to 65631223716100 its reverse (161732213656), we get a palindrome (65792955929756).

The spelling of 65631223716100 in words is "sixty-five trillion, six hundred thirty-one billion, two hundred twenty-three million, seven hundred sixteen thousand, one hundred".