30958463225088 has 432 divisors, whose sum is σ = 108057856757760. Its totient is φ = 8321520697344.

The previous prime is 30958463225087. The next prime is 30958463225093. The reversal of 30958463225088 is 88052236485903.

30958463225088 is a `hidden beast` number, since 3 + 0 + 9 + 58 + 46 + 32 + 2 + 508 + 8 = 666.

It is a Cunningham number, because it is equal to 5564033²-1.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30958463225087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701045953 + ... + 701090111.

It is an arithmetic number, because the mean of its divisors is an integer number (250133927680).

Almost surely, 2^{30958463225088} 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 30958463225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028928378880).

30958463225088 is an abundant number, since it is smaller than the sum of its proper divisors (77099393532672).

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

30958463225088 is a wasteful number, since it uses less digits than its factorization.

30958463225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46762 (or 46745 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 30958463225088 in words is "thirty trillion, nine hundred fifty-eight billion, four hundred sixty-three million, two hundred twenty-five thousand, eighty-eight".