30318638432256 has 384 divisors, whose sum is σ = 95610752109600. Its totient is φ = 9574259097600.

The previous prime is 30318638432227. The next prime is 30318638432297. The reversal of 30318638432256 is 65223483681303.

30318638432256 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 8 + 6 + 384 + 3 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151189656 + ... + 151390056.

Almost surely, 2^{30318638432256} is an apocalyptic number.

30318638432256 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 30318638432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47805376054800).

30318638432256 is an abundant number, since it is smaller than the sum of its proper divisors (65292113677344).

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

30318638432256 is an frugal number, since it uses more digits than its factorization.

30318638432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200465 (or 200425 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 30318638432256 in words is "thirty trillion, three hundred eighteen billion, six hundred thirty-eight million, four hundred thirty-two thousand, two hundred fifty-six".