44677449087768 has 896 divisors, whose sum is σ = 148391695872000. Its totient is φ = 12341267453952.

The previous prime is 44677449087737. The next prime is 44677449087793. The reversal of 44677449087768 is 86778094477644.

44677449087768 is a `hidden beast` number, since 4 + 4 + 67 + 7 + 4 + 490 + 8 + 7 + 7 + 68 = 666.

44677449087768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 91740141621 + ... + 91740142107.

It is an arithmetic number, because the mean of its divisors is an integer number (165615732000).

Almost surely, 2^{44677449087768} 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 44677449087768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74195847936000).

44677449087768 is an abundant number, since it is smaller than the sum of its proper divisors (103714246784232).

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

44677449087768 is a wasteful number, since it uses less digits than its factorization.

44677449087768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 12745506816, while the sum is 81.

The spelling of 44677449087768 in words is "forty-four trillion, six hundred seventy-seven billion, four hundred forty-nine million, eighty-seven thousand, seven hundred sixty-eight".