12645781262816 has 144 divisors (see below), whose sum is σ = 29316100023504. Its totient is φ = 5344724017152.

The previous prime is 12645781262797. The next prime is 12645781262827. The reversal of 12645781262816 is 61826218754621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542851 + ... + 5260413.

It is an arithmetic number, because the mean of its divisors is an integer number (203584027941).

Almost surely, 2^{12645781262816} is an apocalyptic number.

12645781262816 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 12645781262816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14658050011752).

12645781262816 is an abundant number, since it is smaller than the sum of its proper divisors (16670318760688).

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

12645781262816 is a wasteful number, since it uses less digits than its factorization.

12645781262816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717653 (or 3717632 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 59.

The spelling of 12645781262816 in words is "twelve trillion, six hundred forty-five billion, seven hundred eighty-one million, two hundred sixty-two thousand, eight hundred sixteen".