456344417106804 has 12 divisors (see below), whose sum is σ = 1064803639915904. Its totient is φ = 152114805702264.

The previous prime is 456344417106803. The next prime is 456344417106841. The reversal of 456344417106804 is 408601714443654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456344417106803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19014350712772 + ... + 19014350712795.

Almost surely, 2^{456344417106804} is an apocalyptic number.

It is an amenable number.

456344417106804 is an abundant number, since it is smaller than the sum of its proper divisors (608459222809100).

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

456344417106804 is a wasteful number, since it uses less digits than its factorization.

456344417106804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38028701425574 (or 38028701425572 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 456344417106804 in words is "four hundred fifty-six trillion, three hundred forty-four billion, four hundred seventeen million, one hundred six thousand, eight hundred four".