455996544768 has 216 divisors, whose sum is σ = 1344933914688. Its totient is φ = 148520042496.

The previous prime is 455996544761. The next prime is 455996544811. The reversal of 455996544768 is 867445699554.

455996544768 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 9 + 6 + 544 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 455996544696 and 455996544705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455996544761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72874696 + ... + 72880952.

Almost surely, 2^455996544768 is an apocalyptic number.

455996544768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455996544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672466957344).

455996544768 is an abundant number, since it is smaller than the sum of its proper divisors (888937369920).

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

455996544768 is a wasteful number, since it uses less digits than its factorization.

455996544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6982 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 455996544768 in words is "four hundred fifty-five billion, nine hundred ninety-six million, five hundred forty-four thousand, seven hundred sixty-eight".