11546401414401 has 24 divisors (see below), whose sum is σ = 19060819727040. Its totient is φ = 6597911271456.

The previous prime is 11546401414351. The next prime is 11546401414403. The reversal of 11546401414401 is 10441410464511.

11546401414401 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 640 + 1 + 4 + 1 + 4 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 11546401414401 - 2⁹ = 11546401413889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11546401414403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19332811 + ... + 19921103.

It is an arithmetic number, because the mean of its divisors is an integer number (794200821960).

Almost surely, 2^{11546401414401} is an apocalyptic number.

It is an amenable number.

11546401414401 is a deficient number, since it is larger than the sum of its proper divisors (7514418312639).

11546401414401 is a wasteful number, since it uses less digits than its factorization.

11546401414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899845 (or 899842 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 11546401414401 its reverse (10441410464511), we get a palindrome (21987811878912).

The spelling of 11546401414401 in words is "eleven trillion, five hundred forty-six billion, four hundred one million, four hundred fourteen thousand, four hundred one".