486221233680 has 2400 divisors, whose sum is σ = 2308191953760. Its totient is φ = 94197841920.

The previous prime is 486221233669. The next prime is 486221233709. The reversal of 486221233680 is 86332122684.

486221233680 is a `hidden beast` number, since 4 + 8 + 622 + 12 + 3 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 486204976656 + 16257024 = 697284^2 + 4032^2 .

It is a super-2 number, since 2×486221233680² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11859054460 + ... + 11859054500.

Almost surely, 2^486221233680 is an apocalyptic number.

486221233680 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 486221233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154095976880).

486221233680 is an abundant number, since it is smaller than the sum of its proper divisors (1821970720080).

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

486221233680 is a wasteful number, since it uses less digits than its factorization.

486221233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 486221233680 in words is "four hundred eighty-six billion, two hundred twenty-one million, two hundred thirty-three thousand, six hundred eighty".