29125448352 has 576 divisors, whose sum is σ = 114828779520. Its totient is φ = 6755788800.

The previous prime is 29125448351. The next prime is 29125448413. The reversal of 29125448352 is 25384452192.

29125448352 is a `hidden beast` number, since 2 + 9 + 1 + 254 + 48 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29125448298 and 29125448307.

It is not an unprimeable number, because it can be changed into a prime (29125448351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8935299 + ... + 8938557.

It is an arithmetic number, because the mean of its divisors is an integer number (199355520).

Almost surely, 2^29125448352 is an apocalyptic number.

29125448352 is a gapful number since it is divisible by the number (22) 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 29125448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57414389760).

29125448352 is an abundant number, since it is smaller than the sum of its proper divisors (85703331168).

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

29125448352 is a wasteful number, since it uses less digits than its factorization.

29125448352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3326 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 29125448352 in words is "twenty-nine billion, one hundred twenty-five million, four hundred forty-eight thousand, three hundred fifty-two".