11316825674401 has 27 divisors (see below), whose sum is σ = 12811414207347. Its totient is φ = 9991225530000.

The previous prime is 11316825674383. The next prime is 11316825674443. The reversal of 11316825674401 is 10447652861311.

The square root of 11316825674401 is 3364049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1674086638225 + 9642739036176 = 1293865^2 + 3105276^2 .

It is not a de Polignac number, because 11316825674401 - 2⁹ = 11316825673889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11316825675401) 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, 1005845026 + ... + 1005856276.

Almost surely, 2^{11316825674401} is an apocalyptic number.

11316825674401 is the 3364049-th square number.

11316825674401 is the 1682025-th centered octagonal number.

It is an amenable number.

11316825674401 is a deficient number, since it is larger than the sum of its proper divisors (1494588532946).

11316825674401 is an frugal number, since it uses more digits than its factorization.

11316825674401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22574 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 11316825674401 by its sum of digits (49), we get a square (554524458045649 = 23548343²).

The spelling of 11316825674401 in words is "eleven trillion, three hundred sixteen billion, eight hundred twenty-five million, six hundred seventy-four thousand, four hundred one".