64873181601228 has 768 divisors, whose sum is σ = 217795820175360. Its totient is φ = 14470302412800.

The previous prime is 64873181601187. The next prime is 64873181601251. The reversal of 64873181601228 is 82210618137846.

It is a super-2 number, since 2×64873181601228² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9425128275 + ... + 9425135157.

It is an arithmetic number, because the mean of its divisors is an integer number (283588307520).

Almost surely, 2^{64873181601228} 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 64873181601228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108897910087680).

64873181601228 is an abundant number, since it is smaller than the sum of its proper divisors (152922638574132).

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

64873181601228 is a wasteful number, since it uses less digits than its factorization.

64873181601228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 64873181601228 in words is "sixty-four trillion, eight hundred seventy-three billion, one hundred eighty-one million, six hundred one thousand, two hundred twenty-eight".