444414314251161 has 24 divisors (see below), whose sum is σ = 664977296791080. Its totient is φ = 285802208102400.

The previous prime is 444414314251147. The next prime is 444414314251177. The reversal of 444414314251161 is 161152413414444.

444414314251161 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 4 + 31 + 42 + 511 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24551470043136 + 419862844208025 = 4954944^2 + 20490555^2 .

It is not a de Polignac number, because 444414314251161 - 2¹⁵ = 444414314218393 is a prime.

It is a super-2 number, since 2×444414314251161² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444414314251261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6766117920 + ... + 6766183601.

It is an arithmetic number, because the mean of its divisors is an integer number (27707387366295).

Almost surely, 2^{444414314251161} is an apocalyptic number.

444414314251161 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444414314251161 is a deficient number, since it is larger than the sum of its proper divisors (220562982539919).

444414314251161 is a wasteful number, since it uses less digits than its factorization.

444414314251161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532301657 (or 13532301654 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 444414314251161 in words is "four hundred forty-four trillion, four hundred fourteen billion, three hundred fourteen million, two hundred fifty-one thousand, one hundred sixty-one".