130822625887668 has 384 divisors, whose sum is σ = 399779638272000. Its totient is φ = 36473117114880.

The previous prime is 130822625887649. The next prime is 130822625887721. The reversal of 130822625887668 is 866788526228031.

130822625887668 is a `hidden beast` number, since 1 + 30 + 8 + 2 + 2 + 6 + 2 + 588 + 7 + 6 + 6 + 8 = 666.

It is a super-2 number, since 2×130822625887668² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130822625887596 and 130822625887605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21002184378 + ... + 21002190606.

It is an arithmetic number, because the mean of its divisors is an integer number (1041092808000).

Almost surely, 2^{130822625887668} is an apocalyptic number.

130822625887668 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 130822625887668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199889819136000).

130822625887668 is an abundant number, since it is smaller than the sum of its proper divisors (268957012384332).

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

130822625887668 is a wasteful number, since it uses less digits than its factorization.

130822625887668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 130822625887668 in words is "one hundred thirty trillion, eight hundred twenty-two billion, six hundred twenty-five million, eight hundred eighty-seven thousand, six hundred sixty-eight".