44468149340160 has 4608 divisors, whose sum is σ = 212130539712000. Its totient is φ = 8732641591296.

The previous prime is 44468149340159. The next prime is 44468149340161. The reversal of 44468149340160 is 6104394186444.

44468149340160 is a `hidden beast` number, since 4 + 4 + 468 + 14 + 9 + 3 + 4 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (44468149340159) and next prime (44468149340161).

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a junction number, because it is equal to n+sod(n) for n = 44468149340097 and 44468149340106.

It is not an unprimeable number, because it can be changed into a prime (44468149340161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 324585031612 + ... + 324585031748.

It is an arithmetic number, because the mean of its divisors is an integer number (46035273375).

Almost surely, 2^{44468149340160} is an apocalyptic number.

44468149340160 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 44468149340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106065269856000).

44468149340160 is an abundant number, since it is smaller than the sum of its proper divisors (167662390371840).

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

44468149340160 is a wasteful number, since it uses less digits than its factorization.

44468149340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 44468149340160 in words is "forty-four trillion, four hundred sixty-eight billion, one hundred forty-nine million, three hundred forty thousand, one hundred sixty".