30118990176 has 288 divisors, whose sum is σ = 99777629952. Its totient is φ = 8526228480.

The previous prime is 30118990147. The next prime is 30118990193. The reversal of 30118990176 is 67109981103.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3128346 + ... + 3137958.

It is an arithmetic number, because the mean of its divisors is an integer number (346450104).

Almost surely, 2^30118990176 is an apocalyptic number.

30118990176 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 30118990176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49888814976).

30118990176 is an abundant number, since it is smaller than the sum of its proper divisors (69658639776).

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

30118990176 is a wasteful number, since it uses less digits than its factorization.

30118990176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 30118990176 in words is "thirty billion, one hundred eighteen million, nine hundred ninety thousand, one hundred seventy-six".