130221416448 has 210 divisors, whose sum is σ = 389912991699. Its totient is φ = 43309154304.

The previous prime is 130221416431. The next prime is 130221416471. The reversal of 130221416448 is 844614122031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

130221416448 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 1 + 4 + 1 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65110708224 + 65110708224 = 255168^2 + 255168^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=255168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 293953315 + ... + 293953757.

Almost surely, 2^130221416448 is an apocalyptic number.

130221416448 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 130221416448

130221416448 is an abundant number, since it is smaller than the sum of its proper divisors (259691575251).

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

130221416448 is an frugal number, since it uses more digits than its factorization.

130221416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 130221416448 its reverse (844614122031), we get a palindrome (974835538479).

The spelling of 130221416448 in words is "one hundred thirty billion, two hundred twenty-one million, four hundred sixteen thousand, four hundred forty-eight".