131228493984 has 480 divisors, whose sum is σ = 449236440576. Its totient is φ = 36807229440.

The previous prime is 131228493971. The next prime is 131228494021. The reversal of 131228493984 is 489394822131.

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 self number, because there is not a number n which added to its sum of digits gives 131228493984.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 304474249 + ... + 304474679.

Almost surely, 2^131228493984 is an apocalyptic number.

131228493984 is a gapful number since it is divisible by the number (14) 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 131228493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224618220288).

131228493984 is an abundant number, since it is smaller than the sum of its proper divisors (318007946592).

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

131228493984 is a wasteful number, since it uses less digits than its factorization.

131228493984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 713 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 131228493984 in words is "one hundred thirty-one billion, two hundred twenty-eight million, four hundred ninety-three thousand, nine hundred eighty-four".