65861535022144 has 63 divisors (see below), whose sum is σ = 132379588108341. Its totient is φ = 32511390312960.

The previous prime is 65861535022117. The next prime is 65861535022159. The reversal of 65861535022144 is 44122053516856.

It is a happy number.

The square root of 65861535022144 is 8115512.

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

65861535022144 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 only one way, i.e., 30868158151744 + 34993376870400 = 5555912^2 + 5915520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65861535022091 and 65861535022100.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5128997164 + ... + 5129010004.

It is an arithmetic number, because the mean of its divisors is an integer number (2101263303307).

Almost surely, 2^{65861535022144} is an apocalyptic number.

65861535022144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65861535022144 is the 8115512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65861535022144

65861535022144 is an abundant number, since it is smaller than the sum of its proper divisors (66518053086197).

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

65861535022144 is an frugal number, since it uses more digits than its factorization.

65861535022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25852 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 65861535022144 in words is "sixty-five trillion, eight hundred sixty-one billion, five hundred thirty-five million, twenty-two thousand, one hundred forty-four".