12782725017114 has 128 divisors (see below), whose sum is σ = 29854863360000. Its totient is φ = 3616343343360.

The previous prime is 12782725017109. The next prime is 12782725017193. The reversal of 12782725017114 is 41171052728721.

It is a super-3 number, since 3×12782725017114³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7515187 + ... + 9057785.

It is an arithmetic number, because the mean of its divisors is an integer number (233241120000).

Almost surely, 2^{12782725017114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782725017114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927431680000).

12782725017114 is an abundant number, since it is smaller than the sum of its proper divisors (17072138342886).

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

12782725017114 is a wasteful number, since it uses less digits than its factorization.

12782725017114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542820.

The product of its (nonzero) digits is 439040, while the sum is 48.

The spelling of 12782725017114 in words is "twelve trillion, seven hundred eighty-two billion, seven hundred twenty-five million, seventeen thousand, one hundred fourteen".