11264624190417 has 32 divisors (see below), whose sum is σ = 16324451627008. Its totient is φ = 6868108267776.

The previous prime is 11264624190403. The next prime is 11264624190461. The reversal of 11264624190417 is 71409142646211.

It is a happy number.

It is not a de Polignac number, because 11264624190417 - 2¹⁰ = 11264624189393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11264624195417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079183 + ... + 5181915.

It is an arithmetic number, because the mean of its divisors is an integer number (510139113344).

Almost surely, 2^{11264624190417} is an apocalyptic number.

It is an amenable number.

11264624190417 is a deficient number, since it is larger than the sum of its proper divisors (5059827436591).

11264624190417 is a wasteful number, since it uses less digits than its factorization.

11264624190417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103609.

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 11264624190417 in words is "eleven trillion, two hundred sixty-four billion, six hundred twenty-four million, one hundred ninety thousand, four hundred seventeen".