30314467456 has 256 divisors, whose sum is σ = 81430272000. Its totient is φ = 10895818752.

The previous prime is 30314467441. The next prime is 30314467459. The reversal of 30314467456 is 65476441303.

It is a super-2 number, since 2×30314467456² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30314467459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5739825 + ... + 5745103.

It is an arithmetic number, because the mean of its divisors is an integer number (318087000).

Almost surely, 2^30314467456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30314467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40715136000).

30314467456 is an abundant number, since it is smaller than the sum of its proper divisors (51115804544).

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

30314467456 is a wasteful number, since it uses less digits than its factorization.

30314467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 30314467456 in words is "thirty billion, three hundred fourteen million, four hundred sixty-seven thousand, four hundred fifty-six".