29334811968 has 504 divisors, whose sum is σ = 112341172320. Its totient is φ = 7216957440.

The previous prime is 29334811943. The next prime is 29334811997. The reversal of 29334811968 is 86911843392.

29334811968 is a `hidden beast` number, since 2 + 93 + 3 + 481 + 19 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5896330 + ... + 5901302.

Almost surely, 2^29334811968 is an apocalyptic number.

29334811968 is a gapful number since it is divisible by the number (28) 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 29334811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56170586160).

29334811968 is an abundant number, since it is smaller than the sum of its proper divisors (83006360352).

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

29334811968 is a wasteful number, since it uses less digits than its factorization.

29334811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5015 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 29334811968 in words is "twenty-nine billion, three hundred thirty-four million, eight hundred eleven thousand, nine hundred sixty-eight".