29647894320144 has 135 divisors (see below), whose sum is σ = 83297670576159. Its totient is φ = 9844102704960.

The previous prime is 29647894320133. The next prime is 29647894320167. The reversal of 29647894320144 is 44102349874692.

The square root of 29647894320144 is 5444988.

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

29647894320144 is a `hidden beast` number, since 2 + 9 + 6 + 478 + 94 + 32 + 0 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20320694487 + ... + 20320695945.

Almost surely, 2^{29647894320144} is an apocalyptic number.

29647894320144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29647894320144 is the 5444988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29647894320144

29647894320144 is an abundant number, since it is smaller than the sum of its proper divisors (53649776256015).

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

29647894320144 is an frugal number, since it uses more digits than its factorization.

29647894320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 29647894320144 in words is "twenty-nine trillion, six hundred forty-seven billion, eight hundred ninety-four million, three hundred twenty thousand, one hundred forty-four".