1482131426688 has 320 divisors, whose sum is σ = 4817212931520. Its totient is φ = 448623774720.

The previous prime is 1482131426687. The next prime is 1482131426693. The reversal of 1482131426688 is 8866241312841.

1482131426688 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 131 + 426 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482131426687) 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 39 ways as a sum of consecutive naturals, for example, 107996595 + ... + 108010317.

It is an arithmetic number, because the mean of its divisors is an integer number (15053790411).

Almost surely, 2^{1482131426688} is an apocalyptic number.

1482131426688 is a gapful number since it is divisible by the number (18) 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 1482131426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408606465760).

1482131426688 is an abundant number, since it is smaller than the sum of its proper divisors (3335081504832).

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

1482131426688 is a wasteful number, since it uses less digits than its factorization.

1482131426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707 (or 14686 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 1482131426688 in words is "one trillion, four hundred eighty-two billion, one hundred thirty-one million, four hundred twenty-six thousand, six hundred eighty-eight".