65135656224 has 144 divisors (see below), whose sum is σ = 193155318720. Its totient is φ = 21591463680.

The previous prime is 65135656087. The next prime is 65135656249. The reversal of 65135656224 is 42265653156.

65135656224 is a `hidden beast` number, since 6 + 5 + 1 + 3 + 565 + 62 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×65135656224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65135656224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384317 + ... + 1430595.

It is an arithmetic number, because the mean of its divisors is an integer number (1341356380).

Almost surely, 2^65135656224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65135656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96577659360).

65135656224 is an abundant number, since it is smaller than the sum of its proper divisors (128019662496).

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

65135656224 is a wasteful number, since it uses less digits than its factorization.

65135656224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46485 (or 46465 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 65135656224 in words is "sixty-five billion, one hundred thirty-five million, six hundred fifty-six thousand, two hundred twenty-four".