29189469841984 has 21 divisors (see below), whose sum is σ = 57922939986121. Its totient is φ = 14594713310080.

The previous prime is 29189469841969. The next prime is 29189469842009. The reversal of 29189469841984 is 48914896498192.

The square root of 29189469841984 is 5402728.

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

It can be written as a sum of positive squares in only one way, i.e., 4430486136384 + 24758983705600 = 2104872^2 + 4975840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29189469841898 and 29189469841907.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 42884154 + ... + 43559494.

Almost surely, 2^{29189469841984} is an apocalyptic number.

29189469841984 is the 5402728-th square number.

It is an amenable number.

29189469841984 is a deficient number, since it is larger than the sum of its proper divisors (28733470144137).

29189469841984 is an frugal number, since it uses more digits than its factorization.

29189469841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350694 (or 675343 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 82.

The spelling of 29189469841984 in words is "twenty-nine trillion, one hundred eighty-nine billion, four hundred sixty-nine million, eight hundred forty-one thousand, nine hundred eighty-four".