44884316160 has 624 divisors, whose sum is σ = 167442387840. Its totient is φ = 11519262720.

The previous prime is 44884316159. The next prime is 44884316167. The reversal of 44884316160 is 6161348844.

44884316160 is a `hidden beast` number, since 4 + 488 + 4 + 3 + 1 + 6 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44884316167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144322405 + ... + 144322715.

It is an arithmetic number, because the mean of its divisors is an integer number (268337160).

Almost surely, 2^44884316160 is an apocalyptic number.

44884316160 is a gapful number since it is divisible by the number (40) 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 44884316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721193920).

44884316160 is an abundant number, since it is smaller than the sum of its proper divisors (122558071680).

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

44884316160 is an equidigital number, since it uses as much as digits as its factorization.

44884316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 44884316160 in words is "forty-four billion, eight hundred eighty-four million, three hundred sixteen thousand, one hundred sixty".