130480884885456 has 480 divisors, whose sum is σ = 437337164880000. Its totient is φ = 37138244677632.

The previous prime is 130480884885419. The next prime is 130480884885473. The reversal of 130480884885456 is 654588488084031.

It is a happy number.

130480884885456 is a `hidden beast` number, since 1 + 3 + 0 + 48 + 0 + 8 + 8 + 488 + 54 + 56 = 666.

It is a super-2 number, since 2×130480884885456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14745264520 + ... + 14745273368.

It is an arithmetic number, because the mean of its divisors is an integer number (911119093500).

Almost surely, 2^{130480884885456} is an apocalyptic number.

130480884885456 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 130480884885456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218668582440000).

130480884885456 is an abundant number, since it is smaller than the sum of its proper divisors (306856279994544).

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

130480884885456 is a wasteful number, since it uses less digits than its factorization.

130480884885456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 72.

The spelling of 130480884885456 in words is "one hundred thirty trillion, four hundred eighty billion, eight hundred eighty-four million, eight hundred eighty-five thousand, four hundred fifty-six".