30656216448 has 1280 divisors, whose sum is σ = 119431065600. Its totient is φ = 7664025600.

The previous prime is 30656216443. The next prime is 30656216449. The reversal of 30656216448 is 84461265603.

30656216448 is a `hidden beast` number, since 30 + 6 + 562 + 16 + 4 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30656216443) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 988910193 + ... + 988910223.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520).

Almost surely, 2^30656216448 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 30656216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

30656216448 is an abundant number, since it is smaller than the sum of its proper divisors (88774849152).

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

30656216448 is a wasteful number, since it uses less digits than its factorization.

30656216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30656216448 in words is "thirty billion, six hundred fifty-six million, two hundred sixteen thousand, four hundred forty-eight".