29997929434284 has 288 divisors, whose sum is σ = 91441689393600. Its totient is φ = 8479268904960.

The previous prime is 29997929434241. The next prime is 29997929434309. The reversal of 29997929434284 is 48243492979992.

29997929434284 is a `hidden beast` number, since 2 + 9 + 9 + 97 + 92 + 9 + 434 + 2 + 8 + 4 = 666.

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, 184784302 + ... + 184946570.

It is an arithmetic number, because the mean of its divisors is an integer number (317505865950).

Almost surely, 2^{29997929434284} 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 29997929434284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720844696800).

29997929434284 is an abundant number, since it is smaller than the sum of its proper divisors (61443759959316).

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

29997929434284 is a wasteful number, since it uses less digits than its factorization.

29997929434284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162670 (or 162655 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

The spelling of 29997929434284 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred twenty-nine million, four hundred thirty-four thousand, two hundred eighty-four".