64446600664446 has 576 divisors, whose sum is σ = 183676567666176. Its totient is φ = 14887674547200.

The previous prime is 64446600664423. The next prime is 64446600664469.

64446600664446 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (64446600664423) and next prime (64446600664469).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64446600664446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2082871336 + ... + 2082902276.

It is an arithmetic number, because the mean of its divisors is an integer number (318882929976).

Almost surely, 2^{64446600664446} is an apocalyptic number.

64446600664446 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 64446600664446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91838283833088).

64446600664446 is an abundant number, since it is smaller than the sum of its proper divisors (119229967001730).

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

64446600664446 is a wasteful number, since it uses less digits than its factorization.

64446600664446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31137 (or 31117 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 60.

The spelling of 64446600664446 in words is "sixty-four trillion, four hundred forty-six billion, six hundred million, six hundred sixty-four thousand, four hundred forty-six".