446431134644 has 24 divisors (see below), whose sum is σ = 860716021536. Its totient is φ = 200914100000.

The previous prime is 446431134637. The next prime is 446431134661.

It is a happy number.

446431134644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 446431134595 and 446431134604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50224082 + ... + 50232969.

It is an arithmetic number, because the mean of its divisors is an integer number (35863167564).

Almost surely, 2^446431134644 is an apocalyptic number.

446431134644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

446431134644 is a deficient number, since it is larger than the sum of its proper divisors (414284886892).

446431134644 is a wasteful number, since it uses less digits than its factorization.

446431134644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100457167 (or 100457165 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 446431134644 in words is "four hundred forty-six billion, four hundred thirty-one million, one hundred thirty-four thousand, six hundred forty-four".