130624161408 has 480 divisors, whose sum is σ = 424975541760. Its totient is φ = 39807645696.

The previous prime is 130624161389. The next prime is 130624161431. The reversal of 130624161408 is 804161426031.

130624161408 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 241 + 6 + 1 + 408 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 222528091 + ... + 222528677.

It is an arithmetic number, because the mean of its divisors is an integer number (885365712).

Almost surely, 2^130624161408 is an apocalyptic number.

130624161408 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 130624161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212487770880).

130624161408 is an abundant number, since it is smaller than the sum of its proper divisors (294351380352).

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

130624161408 is a wasteful number, since it uses less digits than its factorization.

130624161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 130624161408 its reverse (804161426031), we get a palindrome (934785587439).

The spelling of 130624161408 in words is "one hundred thirty billion, six hundred twenty-four million, one hundred sixty-one thousand, four hundred eight".