64284755748246 has 192 divisors, whose sum is σ = 153560240121600. Its totient is φ = 19434683600640.

The previous prime is 64284755748173. The next prime is 64284755748289.

64284755748246 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 4 + 7 + 5 + 574 + 8 + 2 + 46 = 666.

64284755748246 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64284755748246² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29501951985 + ... + 29501954163.

It is an arithmetic number, because the mean of its divisors is an integer number (799792917300).

Almost surely, 2^{64284755748246} is an apocalyptic number.

64284755748246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64284755748246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780120060800).

64284755748246 is an abundant number, since it is smaller than the sum of its proper divisors (89275484373354).

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

64284755748246 is a wasteful number, since it uses less digits than its factorization.

64284755748246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4511 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 72.

The spelling of 64284755748246 in words is "sixty-four trillion, two hundred eighty-four billion, seven hundred fifty-five million, seven hundred forty-eight thousand, two hundred forty-six".