486608338944 has 576 divisors, whose sum is σ = 1775693767680. Its totient is φ = 128251330560.

The previous prime is 486608338913. The next prime is 486608338949. The reversal of 486608338944 is 449833806684.

486608338944 is a `hidden beast` number, since 4 + 86 + 60 + 83 + 389 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486608338949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322043149 + ... + 322044659.

It is an arithmetic number, because the mean of its divisors is an integer number (3082801680).

Almost surely, 2^486608338944 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 486608338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887846883840).

486608338944 is an abundant number, since it is smaller than the sum of its proper divisors (1289085428736).

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

486608338944 is an equidigital number, since it uses as much as digits as its factorization.

486608338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 486608338944 in words is "four hundred eighty-six billion, six hundred eight million, three hundred thirty-eight thousand, nine hundred forty-four".