65054806710336 has 315 divisors, whose sum is σ = 194060638458973. Its totient is φ = 21637896664320.

The previous prime is 65054806710319. The next prime is 65054806710337. The reversal of 65054806710336 is 63301760845056.

The square root of 65054806710336 is 8065656.

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

65054806710336 is a `hidden beast` number, since 6 + 5 + 0 + 548 + 0 + 67 + 1 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20852520399936 + 44202286310400 = 4566456^2 + 6648480^2 .

It is a super-2 number, since 2×65054806710336² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65054806710337) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 141116717146 + ... + 141116717606.

Almost surely, 2^{65054806710336} is an apocalyptic number.

65054806710336 is the 8065656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65054806710336

65054806710336 is an abundant number, since it is smaller than the sum of its proper divisors (129005831748637).

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

65054806710336 is an frugal number, since it uses more digits than its factorization.

65054806710336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 65054806710336 in words is "sixty-five trillion, fifty-four billion, eight hundred six million, seven hundred ten thousand, three hundred thirty-six".