446113311644 has 48 divisors (see below), whose sum is σ = 1048210308096. Its totient is φ = 160440350400.

The previous prime is 446113311641. The next prime is 446113311667.

446113311644 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×446113311644³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 446113311598 and 446113311607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446113311641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55704452 + ... + 55712459.

It is an arithmetic number, because the mean of its divisors is an integer number (21837714752).

Almost surely, 2^446113311644 is an apocalyptic number.

446113311644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

446113311644 is an abundant number, since it is smaller than the sum of its proper divisors (602096996452).

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

446113311644 is a wasteful number, since it uses less digits than its factorization.

446113311644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111416946 (or 111416944 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 446113 and 311644, that added together give a palindrome (757757).

The spelling of 446113311644 in words is "four hundred forty-six billion, one hundred thirteen million, three hundred eleven thousand, six hundred forty-four".