30863820416 has 384 divisors, whose sum is σ = 78765281280. Its totient is φ = 11921817600.

The previous prime is 30863820397. The next prime is 30863820431. The reversal of 30863820416 is 61402836803.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243022145 + ... + 243022271.

It is an arithmetic number, because the mean of its divisors is an integer number (205117920).

Almost surely, 2^30863820416 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 30863820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382640640).

30863820416 is an abundant number, since it is smaller than the sum of its proper divisors (47901460864).

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

30863820416 is a wasteful number, since it uses less digits than its factorization.

30863820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 30863820416 in words is "thirty billion, eight hundred sixty-three million, eight hundred twenty thousand, four hundred sixteen".