30847804646400 has 4455 divisors, whose sum is σ = 145238880651579. Its totient is φ = 6449486561280.

The previous prime is 30847804646389. The next prime is 30847804646413. The reversal of 30847804646400 is 464640874803.

The square root of 30847804646400 is 5554080.

It is a perfect power (a square), and thus also a powerful number.

30847804646400 is a `hidden beast` number, since 3 + 0 + 8 + 47 + 80 + 464 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424019764224 + 30423784882176 = 651168^2 + 5515776^2 .

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 (13) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1063717401586 + ... + 1063717401614.

Almost surely, 2^{30847804646400} is an apocalyptic number.

30847804646400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30847804646400 is the 5554080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30847804646400

30847804646400 is an abundant number, since it is smaller than the sum of its proper divisors (114391076005179).

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

30847804646400 is a wasteful number, since it uses less digits than its factorization.

30847804646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 30847804646400 in words is "thirty trillion, eight hundred forty-seven billion, eight hundred four million, six hundred forty-six thousand, four hundred".