44664646644 has 192 divisors, whose sum is σ = 125757139200. Its totient is φ = 13660876800.

The previous prime is 44664646633. The next prime is 44664646693.

44664646644 is a `hidden beast` number, since 44 + 66 + 46 + 466 + 44 = 666.

44664646644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18296464 + ... + 18298904.

It is an arithmetic number, because the mean of its divisors is an integer number (654985100).

Almost surely, 2^44664646644 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 44664646644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62878569600).

44664646644 is an abundant number, since it is smaller than the sum of its proper divisors (81092492556).

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

44664646644 is a wasteful number, since it uses less digits than its factorization.

44664646644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2743 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 44664646644 in words is "forty-four billion, six hundred sixty-four million, six hundred forty-six thousand, six hundred forty-four".