44643017664 has 672 divisors, whose sum is σ = 161042079744. Its totient is φ = 11544698880.

The previous prime is 44643017647. The next prime is 44643017743. The reversal of 44643017664 is 46671034644.

44643017664 is a `hidden beast` number, since 4 + 46 + 430 + 176 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×44643017664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152365102 + ... + 152365394.

It is an arithmetic number, because the mean of its divisors is an integer number (239645952).

Almost surely, 2^44643017664 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 44643017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80521039872).

44643017664 is an abundant number, since it is smaller than the sum of its proper divisors (116399062080).

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

44643017664 is a wasteful number, since it uses less digits than its factorization.

44643017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 4464 and 3017664, that multiplied together give a square (13470852096 = 116064²).

The spelling of 44643017664 in words is "forty-four billion, six hundred forty-three million, seventeen thousand, six hundred sixty-four".