65311547381136 has 1215 divisors, whose sum is σ = 229680076390401. Its totient is φ = 17273065227264.

The previous prime is 65311547381063. The next prime is 65311547381147. The reversal of 65311547381136 is 63118374511356.

The square root of 65311547381136 is 8081556.

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

65311547381136 is a `hidden beast` number, since 6 + 5 + 3 + 1 + 1 + 547 + 3 + 81 + 13 + 6 = 666.

65311547381136 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., 12541202318736 + 52770345062400 = 3541356^2 + 7264320^2 .

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 242 ways as a sum of consecutive naturals, for example, 733837610980 + ... + 733837611068.

Almost surely, 2^{65311547381136} is an apocalyptic number.

65311547381136 is the 8081556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65311547381136

65311547381136 is an abundant number, since it is smaller than the sum of its proper divisors (164368529009265).

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

65311547381136 is a wasteful number, since it uses less digits than its factorization.

65311547381136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 65311547381136 in words is "sixty-five trillion, three hundred eleven billion, five hundred forty-seven million, three hundred eighty-one thousand, one hundred thirty-six".