30466356224 has 44 divisors (see below), whose sum is σ = 61218916644. Its totient is φ = 15154151424.

The previous prime is 30466356127. The next prime is 30466356229. The reversal of 30466356224 is 42265366403.

It can be written as a sum of positive squares in 2 ways, for example, as 2456986624 + 28009369600 = 49568^2 + 167360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30466356229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120554 + ... + 274710.

Almost surely, 2^30466356224 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 30466356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609458322).

30466356224 is an abundant number, since it is smaller than the sum of its proper divisors (30752560420).

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

30466356224 is a wasteful number, since it uses less digits than its factorization.

30466356224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154370 (or 154352 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 30466356224 in words is "thirty billion, four hundred sixty-six million, three hundred fifty-six thousand, two hundred twenty-four".