29847691151904 has 144 divisors (see below), whose sum is σ = 82209613469760. Its totient is φ = 9470851084800.

The previous prime is 29847691151903. The next prime is 29847691151917. The reversal of 29847691151904 is 40915119674892.

It is not an unprimeable number, because it can be changed into a prime (29847691151903) 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, 12970749 + ... + 15097539.

It is an arithmetic number, because the mean of its divisors is an integer number (570900093540).

Almost surely, 2^{29847691151904} is an apocalyptic number.

29847691151904 is a gapful number since it is divisible by the number (24) 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 29847691151904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41104806734880).

29847691151904 is an abundant number, since it is smaller than the sum of its proper divisors (52361922317856).

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

29847691151904 is a wasteful number, since it uses less digits than its factorization.

29847691151904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126975 (or 2126896 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 29847691151904 in words is "twenty-nine trillion, eight hundred forty-seven billion, six hundred ninety-one million, one hundred fifty-one thousand, nine hundred four".