486221412768 has 768 divisors, whose sum is σ = 1740558274560. Its totient is φ = 115258982400.

The previous prime is 486221412767. The next prime is 486221412769. The reversal of 486221412768 is 867214122684.

It is an interprime number because it is at equal distance from previous prime (486221412767) and next prime (486221412769).

It is a super-2 number, since 2×486221412768² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 486221412768.

It is not an unprimeable number, because it can be changed into a prime (486221412763) 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 127 ways as a sum of consecutive naturals, for example, 251796763 + ... + 251798693.

It is an arithmetic number, because the mean of its divisors is an integer number (2266351920).

Almost surely, 2^486221412768 is an apocalyptic number.

486221412768 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 486221412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870279137280).

486221412768 is an abundant number, since it is smaller than the sum of its proper divisors (1254336861792).

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

486221412768 is a wasteful number, since it uses less digits than its factorization.

486221412768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2053 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 486221412768 in words is "four hundred eighty-six billion, two hundred twenty-one million, four hundred twelve thousand, seven hundred sixty-eight".