30456134122304 has 448 divisors, whose sum is σ = 73551845905920. Its totient is φ = 12385229373440.

The previous prime is 30456134122303. The next prime is 30456134122307. The reversal of 30456134122304 is 40322143165403.

It is a super-2 number, since 2×30456134122304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30456134122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13762373102 + ... + 13762375314.

Almost surely, 2^{30456134122304} is an apocalyptic number.

30456134122304 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 30456134122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36775922952960).

30456134122304 is an abundant number, since it is smaller than the sum of its proper divisors (43095711783616).

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

30456134122304 is a wasteful number, since it uses less digits than its factorization.

30456134122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 30456134122304 its reverse (40322143165403), we get a palindrome (70778277287707).

The spelling of 30456134122304 in words is "thirty trillion, four hundred fifty-six billion, one hundred thirty-four million, one hundred twenty-two thousand, three hundred four".