130648104576 has 512 divisors, whose sum is σ = 435425760000. Its totient is φ = 38220595200.

The previous prime is 130648104569. The next prime is 130648104583. The reversal of 130648104576 is 675401846031.

130648104576 is a `hidden beast` number, since 1 + 3 + 0 + 64 + 8 + 10 + 4 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (130648104569) and next prime (130648104583).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169893120 + ... + 169893888.

Almost surely, 2^130648104576 is an apocalyptic number.

130648104576 is a gapful number since it is divisible by the number (16) 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 130648104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217712880000).

130648104576 is an abundant number, since it is smaller than the sum of its proper divisors (304777655424).

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

130648104576 is a wasteful number, since it uses less digits than its factorization.

130648104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 130648104576 in words is "one hundred thirty billion, six hundred forty-eight million, one hundred four thousand, five hundred seventy-six".