4454216865 has 256 divisors, whose sum is σ = 9953280000. Its totient is φ = 1884798720.

The previous prime is 4454216861. The next prime is 4454216867. The reversal of 4454216865 is 5686124544.

It is a happy number.

4454216865 is a `hidden beast` number, since 44 + 542 + 1 + 6 + 8 + 65 = 666.

It is not a de Polignac number, because 4454216865 - 2² = 4454216861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4454216865.

It is not an unprimeable number, because it can be changed into a prime (4454216861) 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 255 ways as a sum of consecutive naturals, for example, 41628142 + ... + 41628248.

It is an arithmetic number, because the mean of its divisors is an integer number (38880000).

Almost surely, 2^4454216865 is an apocalyptic number.

4454216865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4454216865 is an abundant number, since it is smaller than the sum of its proper divisors (5499063135).

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

4454216865 is a wasteful number, since it uses less digits than its factorization.

4454216865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 4454216865 is about 66739.9195759180. The cubic root of 4454216865 is about 1645.3455438287.

The spelling of 4454216865 in words is "four billion, four hundred fifty-four million, two hundred sixteen thousand, eight hundred sixty-five".