130653387648 has 384 divisors, whose sum is σ = 445821143040. Its totient is φ = 35939635200.

The previous prime is 130653387629. The next prime is 130653387703. The reversal of 130653387648 is 846783356031.

130653387648 is a `hidden beast` number, since 1 + 30 + 6 + 533 + 8 + 76 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 130653387594 and 130653387603.

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, 52745386 + ... + 52747862.

It is an arithmetic number, because the mean of its divisors is an integer number (1160992560).

Almost surely, 2^130653387648 is an apocalyptic number.

130653387648 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 130653387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222910571520).

130653387648 is an abundant number, since it is smaller than the sum of its proper divisors (315167755392).

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

130653387648 is a wasteful number, since it uses less digits than its factorization.

130653387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 130653387648 in words is "one hundred thirty billion, six hundred fifty-three million, three hundred eighty-seven thousand, six hundred forty-eight".