446106601644 has 48 divisors (see below), whose sum is σ = 1145961949440. Its totient is φ = 133943595840.

The previous prime is 446106601631. The next prime is 446106601649.

446106601644 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×446106601644² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 446106601596 and 446106601605.

It is not an unprimeable number, because it can be changed into a prime (446106601649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15488344 + ... + 15517119.

It is an arithmetic number, because the mean of its divisors is an integer number (23874207280).

Almost surely, 2^446106601644 is an apocalyptic number.

446106601644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

446106601644 is an abundant number, since it is smaller than the sum of its proper divisors (699855347796).

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

446106601644 is a wasteful number, since it uses less digits than its factorization.

446106601644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31005590 (or 31005588 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 446106601644 in words is "four hundred forty-six billion, one hundred six million, six hundred one thousand, six hundred forty-four".