29160930456 has 384 divisors, whose sum is σ = 95930265600. Its totient is φ = 7828254720.

The previous prime is 29160930419. The next prime is 29160930503. The reversal of 29160930456 is 65403906192.

29160930456 is a `hidden beast` number, since 2 + 9 + 1 + 609 + 30 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93165756 + ... + 93166068.

It is an arithmetic number, because the mean of its divisors is an integer number (249818400).

Almost surely, 2^29160930456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29160930456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47965132800).

29160930456 is an abundant number, since it is smaller than the sum of its proper divisors (66769335144).

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

29160930456 is a wasteful number, since it uses less digits than its factorization.

29160930456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 29160930456 in words is "twenty-nine billion, one hundred sixty million, nine hundred thirty thousand, four hundred fifty-six".