30145142016 has 864 divisors, whose sum is σ = 108179076096. Its totient is φ = 7962624000.

The previous prime is 30145142003. The next prime is 30145142039. The reversal of 30145142016 is 61024154103.

It is a happy number.

30145142016 is a `hidden beast` number, since 3 + 0 + 1 + 451 + 4 + 201 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 494182626 + ... + 494182686.

It is an arithmetic number, because the mean of its divisors is an integer number (125207264).

Almost surely, 2^30145142016 is an apocalyptic number.

30145142016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30145142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54089538048).

30145142016 is an abundant number, since it is smaller than the sum of its proper divisors (78033934080).

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

30145142016 is a wasteful number, since it uses less digits than its factorization.

30145142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 30145142016 its reverse (61024154103), we get a palindrome (91169296119).

The spelling of 30145142016 in words is "thirty billion, one hundred forty-five million, one hundred forty-two thousand, sixteen".