64855229931648 has 1792 divisors, whose sum is σ = 220080855859200. Its totient is φ = 19011479445504.

The previous prime is 64855229931577. The next prime is 64855229931649. The reversal of 64855229931648 is 84613992255846.

64855229931648 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 522 + 9 + 9 + 31 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64855229931649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 510671101761 + ... + 510671101887.

It is an arithmetic number, because the mean of its divisors is an integer number (122812977600).

Almost surely, 2^{64855229931648} 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 64855229931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110040427929600).

64855229931648 is an abundant number, since it is smaller than the sum of its proper divisors (155225625927552).

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

64855229931648 is an equidigital number, since it uses as much as digits as its factorization.

64855229931648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 245 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 64855229931648 in words is "sixty-four trillion, eight hundred fifty-five billion, two hundred twenty-nine million, nine hundred thirty-one thousand, six hundred forty-eight".