30994129152 has 324 divisors, whose sum is σ = 104430431196. Its totient is φ = 8814919680.

The previous prime is 30994129123. The next prime is 30994129163. The reversal of 30994129152 is 25192149903.

30994129152 is a `hidden beast` number, since 309 + 9 + 4 + 1 + 291 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25579524096 + 5414605056 = 159936^2 + 73584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30994129098 and 30994129107.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31723288 + ... + 31724264.

Almost surely, 2^30994129152 is an apocalyptic number.

30994129152 is a gapful number since it is divisible by the number (32) 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 30994129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52215215598).

30994129152 is an abundant number, since it is smaller than the sum of its proper divisors (73436302044).

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

30994129152 is a wasteful number, since it uses less digits than its factorization.

30994129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 30994129152 in words is "thirty billion, nine hundred ninety-four million, one hundred twenty-nine thousand, one hundred fifty-two".