5446144704 has 448 divisors, whose sum is σ = 19827118080. Its totient is φ = 1273466880.

The previous prime is 5446144699. The next prime is 5446144709. The reversal of 5446144704 is 4074416445.

It is an interprime number because it is at equal distance from previous prime (5446144699) and next prime (5446144709).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5446144709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8263927 + ... + 8264585.

It is an arithmetic number, because the mean of its divisors is an integer number (44256960).

Almost surely, 2^5446144704 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 5446144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913559040).

5446144704 is an abundant number, since it is smaller than the sum of its proper divisors (14380973376).

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

5446144704 is a wasteful number, since it uses less digits than its factorization.

5446144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 5446144704 is about 73797.9993224749. Note that the first 3 decimals coincide. The cubic root of 5446144704 is about 1759.3938063853.

The spelling of 5446144704 in words is "five billion, four hundred forty-six million, one hundred forty-four thousand, seven hundred four".