11631088417 has 16 divisors (see below), whose sum is σ = 12935492752. Its totient is φ = 10388424960.

The previous prime is 11631088387. The next prime is 11631088433. The reversal of 11631088417 is 71488013611.

It can be written as a sum of positive squares in 8 ways, for example, as 320553216 + 11310535201 = 17904^2 + 106351^2 .

It is a cyclic number.

It is not a de Polignac number, because 11631088417 - 2⁷ = 11631088289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11631088417.

It is not an unprimeable number, because it can be changed into a prime (11631088817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20263 + ... + 153859.

It is an arithmetic number, because the mean of its divisors is an integer number (808468297).

Almost surely, 2^11631088417 is an apocalyptic number.

It is an amenable number.

11631088417 is a deficient number, since it is larger than the sum of its proper divisors (1304404335).

11631088417 is a wasteful number, since it uses less digits than its factorization.

11631088417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133828.

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 11631088417 in words is "eleven billion, six hundred thirty-one million, eighty-eight thousand, four hundred seventeen".