486916835328 has 1728 divisors, whose sum is σ = 2002588660800. Its totient is φ = 115192627200.

The previous prime is 486916835323. The next prime is 486916835341. The reversal of 486916835328 is 823538619684.

It is a happy number.

486916835328 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 16 + 83 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

Its product of digits (59719680) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486916835323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15706994673 + ... + 15706994703.

It is an arithmetic number, because the mean of its divisors is an integer number (1158905475).

Almost surely, 2^486916835328 is an apocalyptic number.

486916835328 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 486916835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001294330400).

486916835328 is an abundant number, since it is smaller than the sum of its proper divisors (1515671825472).

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

486916835328 is a wasteful number, since it uses less digits than its factorization.

486916835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 486916835328 in words is "four hundred eighty-six billion, nine hundred sixteen million, eight hundred thirty-five thousand, three hundred twenty-eight".