486129921684 has 96 divisors (see below), whose sum is σ = 1271176972800. Its totient is φ = 143295557760.

The previous prime is 486129921653. The next prime is 486129921689.

It is a happy number.

486129921684 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486129921689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25284627 + ... + 25303845.

It is an arithmetic number, because the mean of its divisors is an integer number (13241426800).

Almost surely, 2^486129921684 is an apocalyptic number.

486129921684 is a gapful number since it is divisible by the number (44) 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 486129921684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635588486400).

486129921684 is an abundant number, since it is smaller than the sum of its proper divisors (785047051116).

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

486129921684 is a wasteful number, since it uses less digits than its factorization.

486129921684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24453 (or 24451 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The spelling of 486129921684 in words is "four hundred eighty-six billion, one hundred twenty-nine million, nine hundred twenty-one thousand, six hundred eighty-four".