11617774225416 has 192 divisors, whose sum is σ = 34211575756800. Its totient is φ = 3547862083584.

The previous prime is 11617774225349. The next prime is 11617774225439. The reversal of 11617774225416 is 61452247771611.

11617774225416 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 7 + 74 + 22 + 541 + 6 = 666.

It is a super-3 number, since 3×11617774225416³ (a number of 40 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7533675 + ... + 8943813.

It is an arithmetic number, because the mean of its divisors is an integer number (178185290400).

Almost surely, 2^{11617774225416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11617774225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105787878400).

11617774225416 is an abundant number, since it is smaller than the sum of its proper divisors (22593801531384).

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

11617774225416 is a wasteful number, since it uses less digits than its factorization.

11617774225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410348 (or 1410341 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 11617774225416 in words is "eleven trillion, six hundred seventeen billion, seven hundred seventy-four million, two hundred twenty-five thousand, four hundred sixteen".