30394054656 has 768 divisors, whose sum is σ = 113218560000. Its totient is φ = 7856455680.

The previous prime is 30394054643. The next prime is 30394054693. The reversal of 30394054656 is 65645049303.

30394054656 is a `hidden beast` number, since 30 + 39 + 40 + 546 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203986870 + ... + 203987018.

It is an arithmetic number, because the mean of its divisors is an integer number (147420000).

Almost surely, 2^30394054656 is an apocalyptic number.

30394054656 is a gapful number since it is divisible by the number (36) 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 30394054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280000).

30394054656 is an abundant number, since it is smaller than the sum of its proper divisors (82824505344).

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

30394054656 is a wasteful number, since it uses less digits than its factorization.

30394054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 30394054656 in words is "thirty billion, three hundred ninety-four million, fifty-four thousand, six hundred fifty-six".