65113602490000 has 675 divisors, whose sum is σ = 173184721712541. Its totient is φ = 23704375680000.

The previous prime is 65113602489967. The next prime is 65113602490051. The reversal of 65113602490000 is 9420631156.

The square root of 65113602490000 is 8069300.

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

65113602490000 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 7 ways, for example, as 44990985531024 + 20122616958976 = 6707532^2 + 4485824^2 .

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 134 ways as a sum of consecutive naturals, for example, 475281769932 + ... + 475281770068.

Almost surely, 2^{65113602490000} is an apocalyptic number.

65113602490000 is the 8069300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65113602490000

65113602490000 is an abundant number, since it is smaller than the sum of its proper divisors (108071119222541).

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

65113602490000 is an equidigital number, since it uses as much as digits as its factorization.

65113602490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 65113602490000 in words is "sixty-five trillion, one hundred thirteen billion, six hundred two million, four hundred ninety thousand".