29466129312 has 72 divisors (see below), whose sum is σ = 85375374084. Its totient is φ = 9636716544.

The previous prime is 29466129281. The next prime is 29466129317. The reversal of 29466129312 is 21392166492.

29466129312 is a `hidden beast` number, since 29 + 4 + 6 + 612 + 9 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28925845776 + 540283536 = 170076^2 + 23244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (29466129317) 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 11 ways as a sum of consecutive naturals, for example, 949953 + ... + 980480.

Almost surely, 2^29466129312 is an apocalyptic number.

It is an amenable number.

29466129312 is an abundant number, since it is smaller than the sum of its proper divisors (55909244772).

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

29466129312 is a wasteful number, since it uses less digits than its factorization.

29466129312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930502 (or 1930491 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 29466129312 in words is "twenty-nine billion, four hundred sixty-six million, one hundred twenty-nine thousand, three hundred twelve".