30661418112 has 256 divisors, whose sum is σ = 94831766400. Its totient is φ = 8695185408.

The previous prime is 30661418101. The next prime is 30661418129. The reversal of 30661418112 is 21181416603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3505008 + ... + 3513744.

Almost surely, 2^30661418112 is an apocalyptic number.

30661418112 is a gapful number since it is divisible by the number (32) 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 30661418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47415883200).

30661418112 is an abundant number, since it is smaller than the sum of its proper divisors (64170348288).

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

30661418112 is a wasteful number, since it uses less digits than its factorization.

30661418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8811 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 30661418112 in words is "thirty billion, six hundred sixty-one million, four hundred eighteen thousand, one hundred twelve".