65126169216 has 96 divisors (see below), whose sum is σ = 188665600500. Its totient is φ = 21562970112.

The previous prime is 65126169211. The next prime is 65126169247. The reversal of 65126169216 is 61296162156.

65126169216 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 616 + 9 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50581809216 + 14544360000 = 224904^2 + 120600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (65126169211) 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 11 ways as a sum of consecutive naturals, for example, 18061 + ... + 361356.

Almost surely, 2^65126169216 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 65126169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94332800250).

65126169216 is an abundant number, since it is smaller than the sum of its proper divisors (123539431284).

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

65126169216 is a wasteful number, since it uses less digits than its factorization.

65126169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379586 (or 379571 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 65126169216 in words is "sixty-five billion, one hundred twenty-six million, one hundred sixty-nine thousand, two hundred sixteen".