29449660032 has 192 divisors, whose sum is σ = 92762265960. Its totient is φ = 8912609280.

The previous prime is 29449660027. The next prime is 29449660057. The reversal of 29449660032 is 23006694492.

29449660032 is a `hidden beast` number, since 2 + 9 + 4 + 4 + 9 + 6 + 600 + 32 = 666.

29449660032 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 20729088576 + 8720571456 = 143976^2 + 93384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 29449660032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897418 + ... + 929654.

Almost surely, 2^29449660032 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 29449660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46381132980).

29449660032 is an abundant number, since it is smaller than the sum of its proper divisors (63312605928).

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

29449660032 is a wasteful number, since it uses less digits than its factorization.

29449660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32331 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 29449660032 in words is "twenty-nine billion, four hundred forty-nine million, six hundred sixty thousand, thirty-two".