30845214720 has 392 divisors, whose sum is σ = 111092664276. Its totient is φ = 8217427968.

The previous prime is 30845214703. The next prime is 30845214733. The reversal of 30845214720 is 2741254803.

It is a happy number.

30845214720 is a `hidden beast` number, since 30 + 84 + 521 + 4 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29265629184 + 1579585536 = 171072^2 + 39744^2 .

It is a super-2 number, since 2×30845214720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859324 + ... + 29860356.

Almost surely, 2^30845214720 is an apocalyptic number.

30845214720 is a gapful number since it is divisible by the number (30) 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 30845214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55546332138).

30845214720 is an abundant number, since it is smaller than the sum of its proper divisors (80247449556).

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

30845214720 is an frugal number, since it uses more digits than its factorization.

30845214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 30845214720 in words is "thirty billion, eight hundred forty-five million, two hundred fourteen thousand, seven hundred twenty".