130464852768 has 384 divisors, whose sum is σ = 412115558400. Its totient is φ = 40005881856.

The previous prime is 130464852709. The next prime is 130464852779. The reversal of 130464852768 is 867258464031.

It is a happy number.

130464852768 is a `hidden beast` number, since 1 + 30 + 46 + 48 + 527 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125567193 + ... + 125568231.

It is an arithmetic number, because the mean of its divisors is an integer number (1073217600).

Almost surely, 2^130464852768 is an apocalyptic number.

130464852768 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 130464852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206057779200).

130464852768 is an abundant number, since it is smaller than the sum of its proper divisors (281650705632).

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

130464852768 is a wasteful number, since it uses less digits than its factorization.

130464852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 130464852768 in words is "one hundred thirty billion, four hundred sixty-four million, eight hundred fifty-two thousand, seven hundred sixty-eight".