130464505044016 has 320 divisors, whose sum is σ = 318009886064640. Its totient is φ = 50936646942720.

The previous prime is 130464505044011. The next prime is 130464505044043. The reversal of 130464505044016 is 610440505464031.

It is not an unprimeable number, because it can be changed into a prime (130464505044011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962931201 + ... + 1962997663.

It is an arithmetic number, because the mean of its divisors is an integer number (993780893952).

Almost surely, 2^{130464505044016} is an apocalyptic number.

130464505044016 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 130464505044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159004943032320).

130464505044016 is an abundant number, since it is smaller than the sum of its proper divisors (187545381020624).

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

130464505044016 is a wasteful number, since it uses less digits than its factorization.

130464505044016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67084 (or 67078 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 130464505044016 in words is "one hundred thirty trillion, four hundred sixty-four billion, five hundred five million, forty-four thousand, sixteen".