30461248224 has 144 divisors (see below), whose sum is σ = 95561771760. Its totient is φ = 9126881280.

The previous prime is 30461248177. The next prime is 30461248247. The reversal of 30461248224 is 42284216403.

30461248224 is a `hidden beast` number, since 30 + 4 + 612 + 4 + 8 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227934 + ... + 335970.

It is an arithmetic number, because the mean of its divisors is an integer number (663623415).

Almost surely, 2^30461248224 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 30461248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47780885880).

30461248224 is an abundant number, since it is smaller than the sum of its proper divisors (65100523536).

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

30461248224 is a wasteful number, since it uses less digits than its factorization.

30461248224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108153 (or 108142 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 304612 and 48224, that added together give a square (352836 = 594²).

The spelling of 30461248224 in words is "thirty billion, four hundred sixty-one million, two hundred forty-eight thousand, two hundred twenty-four".