456244136366466 has 96 divisors (see below), whose sum is σ = 1108308640424832. Its totient is φ = 122630718320640.

The previous prime is 456244136366461. The next prime is 456244136366471. The reversal of 456244136366466 is 664663631442654.

It is an interprime number because it is at equal distance from previous prime (456244136366461) and next prime (456244136366471).

It is a junction number, because it is equal to n+sod(n) for n = 456244136366397 and 456244136366406.

It is not an unprimeable number, because it can be changed into a prime (456244136366461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17533300 + ... + 34927136.

It is an arithmetic number, because the mean of its divisors is an integer number (11544881671092).

Almost surely, 2^{456244136366466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456244136366466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554154320212416).

456244136366466 is an abundant number, since it is smaller than the sum of its proper divisors (652064504058366).

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

456244136366466 is a wasteful number, since it uses less digits than its factorization.

456244136366466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17396044 (or 17396027 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 66.

The spelling of 456244136366466 in words is "four hundred fifty-six trillion, two hundred forty-four billion, one hundred thirty-six million, three hundred sixty-six thousand, four hundred sixty-six".