456395912416 has 48 divisors (see below), whose sum is σ = 918135570240. Its totient is φ = 223223795200.

The previous prime is 456395912389. The next prime is 456395912417. The reversal of 456395912416 is 614219593654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456395912417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2779290 + ... + 2938918.

It is an arithmetic number, because the mean of its divisors is an integer number (19127824380).

Almost surely, 2^456395912416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456395912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459067785120).

456395912416 is an abundant number, since it is smaller than the sum of its proper divisors (461739657824).

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

456395912416 is a wasteful number, since it uses less digits than its factorization.

456395912416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161587 (or 161579 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 456395912416 in words is "four hundred fifty-six billion, three hundred ninety-five million, nine hundred twelve thousand, four hundred sixteen".