29808411445264 has 135 divisors (see below), whose sum is σ = 59768125978327. Its totient is φ = 14401748795392.

The previous prime is 29808411445259. The next prime is 29808411445313. The reversal of 29808411445264 is 46254411480892.

The square root of 29808411445264 is 5459708.

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 2052814864 + 29806358630400 = 45308^2 + 5459520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29808411445199 and 29808411445208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115986036624 + ... + 115986036880.

Almost surely, 2^{29808411445264} is an apocalyptic number.

29808411445264 is the 5459708-th square number.

It is an amenable number.

29808411445264 is an abundant number, since it is smaller than the sum of its proper divisors (29959714533063).

29808411445264 is an frugal number, since it uses more digits than its factorization.

29808411445264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 29808411445264 in words is "twenty-nine trillion, eight hundred eight billion, four hundred eleven million, four hundred forty-five thousand, two hundred sixty-four".