482513138688 has 528 divisors, whose sum is σ = 1589784045120. Its totient is φ = 129362558976.

The previous prime is 482513138641. The next prime is 482513138689. The reversal of 482513138688 is 886831315284.

It is a super-2 number, since 2×482513138688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482513138689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 323182870 + ... + 323184362.

Almost surely, 2^482513138688 is an apocalyptic number.

482513138688 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 482513138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794892022560).

482513138688 is an abundant number, since it is smaller than the sum of its proper divisors (1107270906432).

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

482513138688 is a wasteful number, since it uses less digits than its factorization.

482513138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1637 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The spelling of 482513138688 in words is "four hundred eighty-two billion, five hundred thirteen million, one hundred thirty-eight thousand, six hundred eighty-eight".