444725210085201 has 48 divisors (see below), whose sum is σ = 664545335563200. Its totient is φ = 286370735831424.

The previous prime is 444725210085137. The next prime is 444725210085209. The reversal of 444725210085201 is 102580012527444.

444725210085201 is a `hidden beast` number, since 4 + 4 + 4 + 72 + 52 + 1 + 0 + 0 + 8 + 520 + 1 = 666.

It is not a de Polignac number, because 444725210085201 - 2⁶ = 444725210085137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444725210085209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552218115 + ... + 553022871.

It is an arithmetic number, because the mean of its divisors is an integer number (13844694490900).

Almost surely, 2^{444725210085201} is an apocalyptic number.

It is an amenable number.

444725210085201 is a deficient number, since it is larger than the sum of its proper divisors (219820125477999).

444725210085201 is a wasteful number, since it uses less digits than its factorization.

444725210085201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816878 (or 816875 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 444725210085201 in words is "four hundred forty-four trillion, seven hundred twenty-five billion, two hundred ten million, eighty-five thousand, two hundred one".