65418601671648 has 192 divisors, whose sum is σ = 195473888850240. Its totient is φ = 21272614502400.

The previous prime is 65418601671641. The next prime is 65418601671659. The reversal of 65418601671648 is 84617610681456.

65418601671648 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 8 + 601 + 6 + 7 + 16 + 4 + 8 = 666.

It is a super-5 number, since 5×65418601671648⁵ (a number of 70 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65418601671641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479466478 + ... + 479602898.

It is an arithmetic number, because the mean of its divisors is an integer number (1018093171095).

Almost surely, 2^{65418601671648} 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 65418601671648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97736944425120).

65418601671648 is an abundant number, since it is smaller than the sum of its proper divisors (130055287178592).

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

65418601671648 is a wasteful number, since it uses less digits than its factorization.

65418601671648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150018 (or 150004 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 65418601671648 in words is "sixty-five trillion, four hundred eighteen billion, six hundred one million, six hundred seventy-one thousand, six hundred forty-eight".