30093516144 has 160 divisors (see below), whose sum is σ = 91552265280. Its totient is φ = 9431654400.

The previous prime is 30093516133. The next prime is 30093516157. The reversal of 30093516144 is 44161539003.

30093516144 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 35 + 1 + 614 + 4 = 666.

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 = 30093516099 and 30093516108.

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, 12637834 + ... + 12640214.

It is an arithmetic number, because the mean of its divisors is an integer number (572201658).

Almost surely, 2^30093516144 is an apocalyptic number.

30093516144 is a gapful number since it is divisible by the number (34) 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 30093516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45776132640).

30093516144 is an abundant number, since it is smaller than the sum of its proper divisors (61458749136).

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

30093516144 is a wasteful number, since it uses less digits than its factorization.

30093516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 3009 and 3516144, that added together give a palindrome (3519153).

The spelling of 30093516144 in words is "thirty billion, ninety-three million, five hundred sixteen thousand, one hundred forty-four".