30009208014144 has 224 divisors, whose sum is σ = 94302535783680. Its totient is φ = 9334783180800.

The previous prime is 30009208014091. The next prime is 30009208014161. The reversal of 30009208014144 is 44141080290003.

It is a happy number.

30009208014144 is a `hidden beast` number, since 30 + 0 + 0 + 9 + 208 + 0 + 1 + 414 + 4 = 666.

It is a super-2 number, since 2×30009208014144² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30009208014099 and 30009208014108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7578577 + ... + 10837584.

It is an arithmetic number, because the mean of its divisors is an integer number (420993463320).

Almost surely, 2^{30009208014144} is an apocalyptic number.

It is an amenable number.

30009208014144 is an abundant number, since it is smaller than the sum of its proper divisors (64293327769536).

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

30009208014144 is a wasteful number, since it uses less digits than its factorization.

30009208014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18416246 (or 18416230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 30009208014144 in words is "thirty trillion, nine billion, two hundred eight million, fourteen thousand, one hundred forty-four".