30909973248 has 648 divisors, whose sum is σ = 115862423040. Its totient is φ = 7994972160.

The previous prime is 30909973247. The next prime is 30909973313. The reversal of 30909973248 is 84237990903.

30909973248 is a `hidden beast` number, since 309 + 0 + 9 + 9 + 7 + 324 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 30909973194 and 30909973203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30909973247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129330313 + ... + 129330551.

Almost surely, 2^30909973248 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 30909973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57931211520).

30909973248 is an abundant number, since it is smaller than the sum of its proper divisors (84952449792).

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

30909973248 is an frugal number, since it uses more digits than its factorization.

30909973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 30909973248 in words is "thirty billion, nine hundred nine million, nine hundred seventy-three thousand, two hundred forty-eight".