29922724227968 has 128 divisors (see below), whose sum is σ = 74152905654240. Its totient is φ = 11816460288000.

The previous prime is 29922724227967. The next prime is 29922724228039. The reversal of 29922724227968 is 86972242722992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29922724227967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47770133 + ... + 48392468.

Almost surely, 2^{29922724227968} is an apocalyptic number.

It is an amenable number.

29922724227968 is an abundant number, since it is smaller than the sum of its proper divisors (44230181426272).

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

29922724227968 is a wasteful number, since it uses less digits than its factorization.

29922724227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96162656 (or 96162644 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 71.

The spelling of 29922724227968 in words is "twenty-nine trillion, nine hundred twenty-two billion, seven hundred twenty-four million, two hundred twenty-seven thousand, nine hundred sixty-eight".