456011014416044 has 48 divisors (see below), whose sum is σ = 816200720270208. Its totient is φ = 222825189470208.

The previous prime is 456011014416029. The next prime is 456011014416049. The reversal of 456011014416044 is 440614410110654.

It is a junction number, because it is equal to n+sod(n) for n = 456011014415992 and 456011014416010.

It is not an unprimeable number, because it can be changed into a prime (456011014416049) 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, 1275472892 + ... + 1275830364.

It is an arithmetic number, because the mean of its divisors is an integer number (17004181672296).

Almost surely, 2^{456011014416044} is an apocalyptic number.

It is an amenable number.

456011014416044 is a deficient number, since it is larger than the sum of its proper divisors (360189705854164).

456011014416044 is a wasteful number, since it uses less digits than its factorization.

456011014416044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367514 (or 367512 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

Adding to 456011014416044 its reverse (440614410110654), we get a palindrome (896625424526698).

The spelling of 456011014416044 in words is "four hundred fifty-six trillion, eleven billion, fourteen million, four hundred sixteen thousand, forty-four".