12894929084401 has 27 divisors (see below), whose sum is σ = 16243257332673. Its totient is φ = 10202322705120.

The previous prime is 12894929084381. The next prime is 12894929084423. The reversal of 12894929084401 is 10448092949821.

The square root of 12894929084401 is 3590951.

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 4003940970225 + 8890988114176 = 2000985^2 + 2981776^2 .

It is not a de Polignac number, because 12894929084401 - 2⁷ = 12894929084273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12894929084401.

It is not an unprimeable number, because it can be changed into a prime (12894929084431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 326756811 + ... + 326796271.

Almost surely, 2^{12894929084401} is an apocalyptic number.

12894929084401 is the 3590951-st square number.

12894929084401 is the 1795476-th centered octagonal number.

It is an amenable number.

12894929084401 is a deficient number, since it is larger than the sum of its proper divisors (3348328248272).

12894929084401 is an frugal number, since it uses more digits than its factorization.

12894929084401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78962 (or 39481 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 61.

The spelling of 12894929084401 in words is "twelve trillion, eight hundred ninety-four billion, nine hundred twenty-nine million, eighty-four thousand, four hundred one".