455937337856 has 320 divisors, whose sum is σ = 1228841349120. Its totient is φ = 163209461760.

The previous prime is 455937337811. The next prime is 455937337859. The reversal of 455937337856 is 658733739554.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 455937337792 and 455937337801.

It is not an unprimeable number, because it can be changed into a prime (455937337859) 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 31 ways as a sum of consecutive naturals, for example, 116338265 + ... + 116342183.

It is an arithmetic number, because the mean of its divisors is an integer number (3840129216).

Almost surely, 2^455937337856 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 455937337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614420674560).

455937337856 is an abundant number, since it is smaller than the sum of its proper divisors (772904011264).

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

455937337856 is a wasteful number, since it uses less digits than its factorization.

455937337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4179 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 65.

The spelling of 455937337856 in words is "four hundred fifty-five billion, nine hundred thirty-seven million, three hundred thirty-seven thousand, eight hundred fifty-six".