486002829312 has 1728 divisors, whose sum is σ = 1982018263680. Its totient is φ = 112715366400.

The previous prime is 486002829293. The next prime is 486002829397. The reversal of 486002829312 is 213928200684.

486002829312 is a `hidden beast` number, since 4 + 8 + 600 + 2 + 8 + 2 + 9 + 31 + 2 = 666.

It is a super-3 number, since 3×486002829312³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6845110237 + ... + 6845110307.

It is an arithmetic number, because the mean of its divisors is an integer number (1147001310).

Almost surely, 2^486002829312 is an apocalyptic number.

486002829312 is a gapful number since it is divisible by the number (42) 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 486002829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991009131840).

486002829312 is an abundant number, since it is smaller than the sum of its proper divisors (1496015434368).

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

486002829312 is a wasteful number, since it uses less digits than its factorization.

486002829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 486002829312 in words is "four hundred eighty-six billion, two million, eight hundred twenty-nine thousand, three hundred twelve".