12884974144 has 63 divisors (see below), whose sum is σ = 29757769923. Its totient is φ = 5519407488.

The previous prime is 12884974099. The next prime is 12884974217. The reversal of 12884974144 is 44147948821.

The square root of 12884974144 is 113512.

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

It is a junction number, because it is equal to n+sod(n) for n = 12884974091 and 12884974100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6355659 + ... + 6357685.

Almost surely, 2^12884974144 is an apocalyptic number.

12884974144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12884974144 is the 113512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12884974144

12884974144 is an abundant number, since it is smaller than the sum of its proper divisors (16872795779).

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

12884974144 is an frugal number, since it uses more digits than its factorization.

12884974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 2036 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 52.

The spelling of 12884974144 in words is "twelve billion, eight hundred eighty-four million, nine hundred seventy-four thousand, one hundred forty-four".