130045484368800 has 3456 divisors, whose sum is σ = 657516636241920. Its totient is φ = 23305605120000.

The previous prime is 130045484368717. The next prime is 130045484368819. The reversal of 130045484368800 is 8863484540031.

It is a happy number.

130045484368800 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 454 + 84 + 36 + 8 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6479262765 + ... + 6479282835.

It is an arithmetic number, because the mean of its divisors is an integer number (190253656320).

Almost surely, 2^{130045484368800} is an apocalyptic number.

130045484368800 is a gapful number since it is divisible by the number (10) 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 130045484368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328758318120960).

130045484368800 is an abundant number, since it is smaller than the sum of its proper divisors (527471151873120).

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

130045484368800 is a wasteful number, since it uses less digits than its factorization.

130045484368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20188 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 130045484368800 in words is "one hundred thirty trillion, forty-five billion, four hundred eighty-four million, three hundred sixty-eight thousand, eight hundred".