29992614912 has 264 divisors, whose sum is σ = 93987923120. Its totient is φ = 9157017600.

The previous prime is 29992614893. The next prime is 29992614919. The reversal of 29992614912 is 21941629992.

29992614912 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 2 + 614 + 9 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29992614919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16652412 + ... + 16654212.

Almost surely, 2^29992614912 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 29992614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46993961560).

29992614912 is an abundant number, since it is smaller than the sum of its proper divisors (63995308208).

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

29992614912 is a wasteful number, since it uses less digits than its factorization.

29992614912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1958 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 29992614912 in words is "twenty-nine billion, nine hundred ninety-two million, six hundred fourteen thousand, nine hundred twelve".