2853686246401 has 8 divisors (see below), whose sum is σ = 2896168032360. Its totient is φ = 2811435969408.

The previous prime is 2853686246303. The next prime is 2853686246419. The reversal of 2853686246401 is 1046426863582.

It can be written as a sum of positive squares in 4 ways, for example, as 81464576400 + 2772221670001 = 285420^2 + 1664999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2853686246401 - 2²¹ = 2853684149249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2853686246471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57852406 + ... + 57901711.

It is an arithmetic number, because the mean of its divisors is an integer number (362021004045).

Almost surely, 2^{2853686246401} is an apocalyptic number.

It is an amenable number.

2853686246401 is a deficient number, since it is larger than the sum of its proper divisors (42481785959).

2853686246401 is a wasteful number, since it uses less digits than its factorization.

2853686246401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115754483.

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 2853686246401 in words is "two trillion, eight hundred fifty-three billion, six hundred eighty-six million, two hundred forty-six thousand, four hundred one".