29981036448 has 144 divisors (see below), whose sum is σ = 96009967872. Its totient is φ = 8792064000.

The previous prime is 29981036441. The next prime is 29981036473. The reversal of 29981036448 is 84463018992.

29981036448 is a `hidden beast` number, since 2 + 9 + 98 + 103 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 29981036394 and 29981036403.

It is not an unprimeable number, because it can be changed into a prime (29981036441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54433 + ... + 250848.

It is an arithmetic number, because the mean of its divisors is an integer number (666735888).

Almost surely, 2^29981036448 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 29981036448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48004983936).

29981036448 is an abundant number, since it is smaller than the sum of its proper divisors (66028931424).

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

29981036448 is a wasteful number, since it uses less digits than its factorization.

29981036448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305339 (or 305328 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 29981036448 in words is "twenty-nine billion, nine hundred eighty-one million, thirty-six thousand, four hundred forty-eight".