65351767393936 has 135 divisors (see below), whose sum is σ = 141979868586939. Its totient is φ = 29130496856064.

The previous prime is 65351767393933. The next prime is 65351767393963. The reversal of 65351767393936 is 63939376715356.

The square root of 65351767393936 is 8084044.

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

It can be written as a sum of positive squares in 4 ways, for example, as 45054219515536 + 20297547878400 = 6712244^2 + 4505280^2 .

It is a super-2 number, since 2×65351767393936² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65351767393931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10444581720 + ... + 10444587976.

Almost surely, 2^{65351767393936} is an apocalyptic number.

65351767393936 is the 8084044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65351767393936

65351767393936 is an abundant number, since it is smaller than the sum of its proper divisors (76628101193003).

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

65351767393936 is an frugal number, since it uses more digits than its factorization.

65351767393936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 6295 counting only the distinct ones).

The product of its digits is 1736040600, while the sum is 73.

The spelling of 65351767393936 in words is "sixty-five trillion, three hundred fifty-one billion, seven hundred sixty-seven million, three hundred ninety-three thousand, nine hundred thirty-six".