484435226016 has 288 divisors, whose sum is σ = 1654111126080. Its totient is φ = 137526584832.

The previous prime is 484435225993. The next prime is 484435226021. The reversal of 484435226016 is 610622534484.

484435226016 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 35 + 2 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6610311 + ... + 6683193.

It is an arithmetic number, because the mean of its divisors is an integer number (5743441410).

Almost surely, 2^484435226016 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 484435226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827055563040).

484435226016 is an abundant number, since it is smaller than the sum of its proper divisors (1169675900064).

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

484435226016 is a wasteful number, since it uses less digits than its factorization.

484435226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73073 (or 73052 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 484435226016 in words is "four hundred eighty-four billion, four hundred thirty-five million, two hundred twenty-six thousand, sixteen".