11455959436417 has 8 divisors (see below), whose sum is σ = 11621222836200. Its totient is φ = 11291508142464.

The previous prime is 11455959436409. The next prime is 11455959436423. The reversal of 11455959436417 is 71463495955411.

It can be written as a sum of positive squares in 4 ways, for example, as 1238321614401 + 10217637822016 = 1112799^2 + 3196504^2 .

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 11455959436417 - 2³ = 11455959436409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11455959436477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202998042 + ... + 203054467.

It is an arithmetic number, because the mean of its divisors is an integer number (1452652854525).

Almost surely, 2^{11455959436417} is an apocalyptic number.

It is an amenable number.

11455959436417 is a deficient number, since it is larger than the sum of its proper divisors (165263399783).

11455959436417 is an equidigital number, since it uses as much as digits as its factorization.

11455959436417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406052915.

The product of its digits is 81648000, while the sum is 64.

The spelling of 11455959436417 in words is "eleven trillion, four hundred fifty-five billion, nine hundred fifty-nine million, four hundred thirty-six thousand, four hundred seventeen".