30463840538208 has 720 divisors, whose sum is σ = 113778533772288. Its totient is φ = 7906901184000.

The previous prime is 30463840538149. The next prime is 30463840538291. The reversal of 30463840538208 is 80283504836403.

30463840538208 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 3 + 84 + 0 + 538 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2110992753 + ... + 2111007183.

Almost surely, 2^{30463840538208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30463840538208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56889266886144).

30463840538208 is an abundant number, since it is smaller than the sum of its proper divisors (83314693234080).

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

30463840538208 is a wasteful number, since it uses less digits than its factorization.

30463840538208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15989 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 30463840538208 in words is "thirty trillion, four hundred sixty-three billion, eight hundred forty million, five hundred thirty-eight thousand, two hundred eight".