130351884624 has 240 divisors, whose sum is σ = 410687047680. Its totient is φ = 38321786880.

The previous prime is 130351884581. The next prime is 130351884631. The reversal of 130351884624 is 426488153031.

130351884624 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 18 + 8 + 4 + 624 = 666.

It is a super-2 number, since 2×130351884624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130351884624.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4570312 + ... + 4598744.

It is an arithmetic number, because the mean of its divisors is an integer number (1711196032).

Almost surely, 2^130351884624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130351884624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205343523840).

130351884624 is an abundant number, since it is smaller than the sum of its proper divisors (280335163056).

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

130351884624 is a wasteful number, since it uses less digits than its factorization.

130351884624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28570 (or 28561 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 130351884624 in words is "one hundred thirty billion, three hundred fifty-one million, eight hundred eighty-four thousand, six hundred twenty-four".