65405649312 has 240 divisors, whose sum is σ = 205662929472. Its totient is φ = 20318791680.

The previous prime is 65405649277. The next prime is 65405649313. The reversal of 65405649312 is 21394650456.

65405649312 is a `hidden beast` number, since 6 + 54 + 0 + 564 + 9 + 31 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65405649313) 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 39 ways as a sum of consecutive naturals, for example, 4531387 + ... + 4545797.

Almost surely, 2^65405649312 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 65405649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102831464736).

65405649312 is an abundant number, since it is smaller than the sum of its proper divisors (140257280160).

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

65405649312 is a wasteful number, since it uses less digits than its factorization.

65405649312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14553 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 65405649312 in words is "sixty-five billion, four hundred five million, six hundred forty-nine thousand, three hundred twelve".