65241419776 has 117 divisors (see below), whose sum is σ = 141736498821. Its totient is φ = 30013341696.

The previous prime is 65241419759. The next prime is 65241419779. The reversal of 65241419776 is 67791414256.

The square root of 65241419776 is 255424.

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

It can be written as a sum of positive squares in only one way, i.e., 9651097600 + 55590322176 = 98240^2 + 235776^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65241419779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 212512615 + ... + 212512921.

Almost surely, 2^65241419776 is an apocalyptic number.

65241419776 is the 255424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65241419776

65241419776 is an abundant number, since it is smaller than the sum of its proper divisors (76495079045).

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

65241419776 is an frugal number, since it uses more digits than its factorization.

65241419776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 322 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The spelling of 65241419776 in words is "sixty-five billion, two hundred forty-one million, four hundred nineteen thousand, seven hundred seventy-six".