29763309491776 has 189 divisors, whose sum is σ = 70638158098179. Its totient is φ = 12406241691648.

The previous prime is 29763309491717. The next prime is 29763309491779. The reversal of 29763309491776 is 67719490336792.

The square root of 29763309491776 is 5455576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 220171162176 + 29543138329600 = 469224^2 + 5435360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29763309491699 and 29763309491708.

It is not an unprimeable number, because it can be changed into a prime (29763309491779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11303952156 + ... + 11303954788.

Almost surely, 2^{29763309491776} is an apocalyptic number.

29763309491776 is the 5455576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29763309491776

29763309491776 is an abundant number, since it is smaller than the sum of its proper divisors (40874848606403).

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

29763309491776 is an frugal number, since it uses more digits than its factorization.

29763309491776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 648121824, while the sum is 73.

The spelling of 29763309491776 in words is "twenty-nine trillion, seven hundred sixty-three billion, three hundred nine million, four hundred ninety-one thousand, seven hundred seventy-six".