44206450006160 has 80 divisors (see below), whose sum is σ = 114502913688240. Its totient is φ = 15759540787200.

The previous prime is 44206450006153. The next prime is 44206450006163. The reversal of 44206450006160 is 6160005460244.

44206450006160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 411014338816 + 43795435667344 = 641104^2 + 6617812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (44206450006163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 732835391 + ... + 732895710.

It is an arithmetic number, because the mean of its divisors is an integer number (1431286421103).

Almost surely, 2^{44206450006160} is an apocalyptic number.

44206450006160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44206450006160 is an abundant number, since it is smaller than the sum of its proper divisors (70296463682080).

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

44206450006160 is a wasteful number, since it uses less digits than its factorization.

44206450006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465731156 (or 1465731150 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 44206450006160 in words is "forty-four trillion, two hundred six billion, four hundred fifty million, six thousand, one hundred sixty".