130842224529408 has 1664 divisors, whose sum is σ = 464705703936000. Its totient is φ = 36350705664000.

The previous prime is 130842224529403. The next prime is 130842224529413. The reversal of 130842224529408 is 804925422248031.

130842224529408 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 2 + 224 + 5 + 2 + 9 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (130842224529403) and next prime (130842224529413).

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

It is not an unprimeable number, because it can be changed into a prime (130842224529403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303578246953 + ... + 303578247383.

Almost surely, 2^{130842224529408} is an apocalyptic number.

130842224529408 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 130842224529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232352851968000).

130842224529408 is an abundant number, since it is smaller than the sum of its proper divisors (333863479406592).

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

130842224529408 is an equidigital number, since it uses as much as digits as its factorization.

130842224529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 130842224529408 in words is "one hundred thirty trillion, eight hundred forty-two billion, two hundred twenty-four million, five hundred twenty-nine thousand, four hundred eight".