29229430164480 has 2112 divisors, whose sum is σ = 133602704621568. Its totient is φ = 5738822369280.

The previous prime is 29229430164469. The next prime is 29229430164499. The reversal of 29229430164480 is 8446103492292.

29229430164480 is a `hidden beast` number, since 2 + 9 + 2 + 2 + 9 + 430 + 164 + 48 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3568477185 + ... + 3568485375.

Almost surely, 2^{29229430164480} is an apocalyptic number.

29229430164480 is a gapful number since it is divisible by the number (20) 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 29229430164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66801352310784).

29229430164480 is an abundant number, since it is smaller than the sum of its proper divisors (104373274457088).

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

29229430164480 is a wasteful number, since it uses less digits than its factorization.

29229430164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 29229430164480 in words is "twenty-nine trillion, two hundred twenty-nine billion, four hundred thirty million, one hundred sixty-four thousand, four hundred eighty".