486106451712000 has 3072 divisors, whose sum is σ = 2084912234496000. Its totient is φ = 109442285568000.

The previous prime is 486106451711981. The next prime is 486106451712001. The reversal of 486106451712000 is 217154601684.

486106451712000 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 0 + 6 + 4 + 517 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486106451712001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1468599551835 + ... + 1468599552165.

It is an arithmetic number, because the mean of its divisors is an integer number (678682368000).

Almost surely, 2^{486106451712000} is an apocalyptic number.

486106451712000 is a gapful number since it is divisible by the number (40) 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 486106451712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042456117248000).

486106451712000 is an abundant number, since it is smaller than the sum of its proper divisors (1598805782784000).

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

486106451712000 is a wasteful number, since it uses less digits than its factorization.

486106451712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 486106451712000 in words is "four hundred eighty-six trillion, one hundred six billion, four hundred fifty-one million, seven hundred twelve thousand".