30466358784 has 240 divisors, whose sum is σ = 96317741520. Its totient is φ = 9227796480.

The previous prime is 30466358771. The next prime is 30466358807. The reversal of 30466358784 is 48785366403.

It is a self number, because there is not a number n which added to its sum of digits gives 30466358784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265039 + ... + 2278449.

It is an arithmetic number, because the mean of its divisors is an integer number (401323923).

Almost surely, 2^30466358784 is an apocalyptic number.

30466358784 is a gapful number since it is divisible by the number (34) 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 30466358784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158870760).

30466358784 is an abundant number, since it is smaller than the sum of its proper divisors (65851382736).

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

30466358784 is a wasteful number, since it uses less digits than its factorization.

30466358784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 30466358784 in words is "thirty billion, four hundred sixty-six million, three hundred fifty-eight thousand, seven hundred eighty-four".