12880434064 has 45 divisors (see below), whose sum is σ = 26526077427. Its totient is φ = 6057748992.

The previous prime is 12880434041. The next prime is 12880434101. The reversal of 12880434064 is 46043408821.

It is a happy number.

The square root of 12880434064 is 113492.

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 1343955600 + 11536478464 = 36660^2 + 107408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7716622 + ... + 7718290.

Almost surely, 2^12880434064 is an apocalyptic number.

12880434064 is the 113492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12880434064

12880434064 is an abundant number, since it is smaller than the sum of its proper divisors (13645643363).

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

12880434064 is an frugal number, since it uses more digits than its factorization.

12880434064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 12880434064 in words is "twelve billion, eight hundred eighty million, four hundred thirty-four thousand, sixty-four".