44479346688 has 288 divisors, whose sum is σ = 149330563200. Its totient is φ = 12490850304.

The previous prime is 44479346683. The next prime is 44479346719. The reversal of 44479346688 is 88664397444.

44479346688 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 93 + 466 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44479346683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7609495 + ... + 7615337.

It is an arithmetic number, because the mean of its divisors is an integer number (518508900).

Almost surely, 2^44479346688 is an apocalyptic number.

44479346688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44479346688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74665281600).

44479346688 is an abundant number, since it is smaller than the sum of its proper divisors (104851216512).

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

44479346688 is a wasteful number, since it uses less digits than its factorization.

44479346688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5914 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 44479346688 in words is "forty-four billion, four hundred seventy-nine million, three hundred forty-six thousand, six hundred eighty-eight".