30294724229184 has 168 divisors, whose sum is σ = 84430968808032. Its totient is φ = 9585448970240.

The previous prime is 30294724229177. The next prime is 30294724229191. The reversal of 30294724229184 is 48192242749203.

It is an interprime number because it is at equal distance from previous prime (30294724229177) and next prime (30294724229191).

It is a super-2 number, since 2×30294724229184² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12166972 + ... + 14443844.

It is an arithmetic number, because the mean of its divisors is an integer number (502565290524).

Almost surely, 2^{30294724229184} 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 30294724229184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42215484404016).

30294724229184 is an abundant number, since it is smaller than the sum of its proper divisors (54136244578848).

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

30294724229184 is a wasteful number, since it uses less digits than its factorization.

30294724229184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277065 (or 2277032 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 30294724229184 in words is "thirty trillion, two hundred ninety-four billion, seven hundred twenty-four million, two hundred twenty-nine thousand, one hundred eighty-four".