12890146816 has 72 divisors (see below), whose sum is σ = 26073905130. Its totient is φ = 6370918400.

The previous prime is 12890146807. The next prime is 12890146823. The reversal of 12890146816 is 61864109821.

It can be written as a sum of positive squares in 3 ways, for example, as 12723840000 + 166306816 = 112800^2 + 12896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20891340 + ... + 20891956.

Almost surely, 2^12890146816 is an apocalyptic number.

12890146816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12890146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036952565).

12890146816 is an abundant number, since it is smaller than the sum of its proper divisors (13183758314).

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

12890146816 is an frugal number, since it uses more digits than its factorization.

12890146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 12890146816 in words is "twelve billion, eight hundred ninety million, one hundred forty-six thousand, eight hundred sixteen".