11617020625616 has 60 divisors (see below), whose sum is σ = 27722911047588. Its totient is φ = 4685857053696.

The previous prime is 11617020625583. The next prime is 11617020625631. The reversal of 11617020625616 is 61652602071611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9756851971216 + 1860168654400 = 3123596^2 + 1363880^2 .

It is a super-3 number, since 3×11617020625616³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435799271 + ... + 435825926.

Almost surely, 2^{11617020625616} is an apocalyptic number.

11617020625616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11617020625616 is an abundant number, since it is smaller than the sum of its proper divisors (16105890421972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11617020625616 is a wasteful number, since it uses less digits than its factorization.

11617020625616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871625236 (or 871625223 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 11617020625616 in words is "eleven trillion, six hundred seventeen billion, twenty million, six hundred twenty-five thousand, six hundred sixteen".